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1394493465456 = 2433713223314389
BaseRepresentation
bin10100010010101110010…
…010011010001101110000
311221022102122110212011000
4110102232102122031300
5140321410311343311
62544342122322000
7202514563611330
oct24225622321560
94838378425130
101394493465456
114984462303a3
121a6319059300
13a1666b45b00
144b6cb1710c0
15264199ee056
hex144ae49a370

1394493465456 has 1920 divisors, whose sum is σ = 5521018060800. Its totient is φ = 328786698240.

The previous prime is 1394493465437. The next prime is 1394493465457. The reversal of 1394493465456 is 6545643944931.

It is a happy number.

1394493465456 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 49 + 3 + 46 + 545 + 6 = 666.

It is a super-2 number, since 2×13944934654562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1394493465393 and 1394493465402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1394493465457) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15668465860 + ... + 15668465948.

It is an arithmetic number, because the mean of its divisors is an integer number (2875530240).

Almost surely, 21394493465456 is an apocalyptic number.

1394493465456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1394493465456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760509030400).

1394493465456 is an abundant number, since it is smaller than the sum of its proper divisors (4126524595344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1394493465456 is a wasteful number, since it uses less digits than its factorization.

1394493465456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 63.

The spelling of 1394493465456 in words is "one trillion, three hundred ninety-four billion, four hundred ninety-three million, four hundred sixty-five thousand, four hundred fifty-six".