1450743146496 has 960 divisors, whose sum is σ = 5163168890880. Its totient is φ = 397135872000.

The previous prime is 1450743146467. The next prime is 1450743146507. The reversal of 1450743146496 is 6946413470541.

It is a happy number.

1450743146496 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 7 + 4 + 3 + 146 + 496 = 666.

It is a super-2 number, since 2×1450743146496² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6875559831 + ... + 6875560041.

It is an arithmetic number, because the mean of its divisors is an integer number (5378300928).

Almost surely, 2^{1450743146496} is an apocalyptic number.

1450743146496 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 1450743146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581584445440).

1450743146496 is an abundant number, since it is smaller than the sum of its proper divisors (3712425744384).

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

1450743146496 is a wasteful number, since it uses less digits than its factorization.

1450743146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1450743146496 in words is "one trillion, four hundred fifty billion, seven hundred forty-three million, one hundred forty-six thousand, four hundred ninety-six".