1456152800832 has 280 divisors, whose sum is σ = 4446230245952. Its totient is φ = 470945664000.

The previous prime is 1456152800813. The next prime is 1456152800899. The reversal of 1456152800832 is 2380082516541.

1456152800832 is a `hidden beast` number, since 1 + 4 + 5 + 615 + 28 + 0 + 0 + 8 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33638082 + ... + 33681342.

Almost surely, 2^{1456152800832} is an apocalyptic number.

1456152800832 is a gapful number since it is divisible by the number (12) 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 1456152800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223115122976).

1456152800832 is an abundant number, since it is smaller than the sum of its proper divisors (2990077445120).

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

1456152800832 is a wasteful number, since it uses less digits than its factorization.

1456152800832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43479 (or 43460 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1456152800832 in words is "one trillion, four hundred fifty-six billion, one hundred fifty-two million, eight hundred thousand, eight hundred thirty-two".