10456704964272 has 160 divisors (see below), whose sum is σ = 33355293696000. Its totient is φ = 2811886973952.

The previous prime is 10456704964259. The next prime is 10456704964273. The reversal of 10456704964272 is 27246940765401.

It is not an unprimeable number, because it can be changed into a prime (10456704964273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18400272 + ... + 18960047.

It is an arithmetic number, because the mean of its divisors is an integer number (208470585600).

Almost surely, 2^{10456704964272} is an apocalyptic number.

10456704964272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10456704964272 is an abundant number, since it is smaller than the sum of its proper divisors (22898588731728).

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

10456704964272 is a wasteful number, since it uses less digits than its factorization.

10456704964272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37360368 (or 37360348 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 10456704964272 in words is "ten trillion, four hundred fifty-six billion, seven hundred four million, nine hundred sixty-four thousand, two hundred seventy-two".