456601656125 has 16 divisors (see below), whose sum is σ = 570851102016. Its totient is φ = 364632456400.

The previous prime is 456601656107. The next prime is 456601656127. The reversal of 456601656125 is 521656106654.

It is not a de Polignac number, because 456601656125 - 2²⁴ = 456584878909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456601656125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456601656127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3173687 + ... + 3314436.

It is an arithmetic number, because the mean of its divisors is an integer number (35678193876).

Almost surely, 2^456601656125 is an apocalyptic number.

It is an amenable number.

456601656125 is a deficient number, since it is larger than the sum of its proper divisors (114249445891).

456601656125 is an equidigital number, since it uses as much as digits as its factorization.

456601656125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488701 (or 6488691 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 456601656125 in words is "four hundred fifty-six billion, six hundred one million, six hundred fifty-six thousand, one hundred twenty-five".