1453092226560 has 1920 divisors, whose sum is σ = 6004185707520. Its totient is φ = 321626308608.

The previous prime is 1453092226543. The next prime is 1453092226561. The reversal of 1453092226560 is 656222903541.

1453092226560 is a `hidden beast` number, since 1 + 4 + 5 + 309 + 22 + 265 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1453092226560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453092226561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14107691469 + ... + 14107691571.

It is an arithmetic number, because the mean of its divisors is an integer number (3127180056).

Almost surely, 2^{1453092226560} is an apocalyptic number.

1453092226560 is a gapful number since it is divisible by the number (10) 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 1453092226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002092853760).

1453092226560 is an abundant number, since it is smaller than the sum of its proper divisors (4551093480960).

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

1453092226560 is a wasteful number, since it uses less digits than its factorization.

1453092226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1453092226560 in words is "one trillion, four hundred fifty-three billion, ninety-two million, two hundred twenty-six thousand, five hundred sixty".