10457164576 has 48 divisors (see below), whose sum is σ = 22209929784. Its totient is φ = 4828155904.

The previous prime is 10457164541. The next prime is 10457164673. The reversal of 10457164576 is 67546175401.

10457164576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9895474576 + 561690000 = 99476^2 + 23700^2 .

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 7 ways as a sum of consecutive naturals, for example, 152515 + ... + 210178.

Almost surely, 2^10457164576 is an apocalyptic number.

10457164576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10457164576 is an abundant number, since it is smaller than the sum of its proper divisors (11752765208).

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

10457164576 is a wasteful number, since it uses less digits than its factorization.

10457164576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362773 (or 362765 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 10457164576 in words is "ten billion, four hundred fifty-seven million, one hundred sixty-four thousand, five hundred seventy-six".