456957868310128 has 40 divisors (see below), whose sum is σ = 900052847529120. Its totient is φ = 224687688695040.

The previous prime is 456957868310113. The next prime is 456957868310137. The reversal of 456957868310128 is 821013868759654.

It is a hoax number, since the sum of its digits (73) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 42789475 + ... + 52391362.

It is an arithmetic number, because the mean of its divisors is an integer number (22501321188228).

It is a 1-persistent number, because it is pandigital, but 2⋅456957868310128 = 913915736620256 is not.

Almost surely, 2^{456957868310128} is an apocalyptic number.

It is an amenable number.

456957868310128 is a deficient number, since it is larger than the sum of its proper divisors (443094979218992).

456957868310128 is a wasteful number, since it uses less digits than its factorization.

456957868310128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95185825 (or 95185819 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 73.

The spelling of 456957868310128 in words is "four hundred fifty-six trillion, nine hundred fifty-seven billion, eight hundred sixty-eight million, three hundred ten thousand, one hundred twenty-eight".