456011146256 has 40 divisors (see below), whose sum is σ = 913642785024. Its totient is φ = 220258500480.

The previous prime is 456011146243. The next prime is 456011146273. The reversal of 456011146256 is 652641110654.

It is a super-2 number, since 2×456011146256² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537251 + ... + 1095746.

Almost surely, 2^456011146256 is an apocalyptic number.

It is an amenable number.

456011146256 is an abundant number, since it is smaller than the sum of its proper divisors (457631638768).

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

456011146256 is a wasteful number, since it uses less digits than its factorization.

456011146256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633599 (or 1633593 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 456011146256 in words is "four hundred fifty-six billion, eleven million, one hundred forty-six thousand, two hundred fifty-six".