456506652660 has 96 divisors (see below), whose sum is σ = 1285016503680. Its totient is φ = 121088765952.

The previous prime is 456506652649. The next prime is 456506652661. The reversal of 456506652660 is 66256605654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456506652661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14089639 + ... + 14122001.

It is an arithmetic number, because the mean of its divisors is an integer number (13385588580).

Almost surely, 2^456506652660 is an apocalyptic number.

It is an amenable number.

456506652660 is an abundant number, since it is smaller than the sum of its proper divisors (828509851020).

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

456506652660 is a wasteful number, since it uses less digits than its factorization.

456506652660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33617 (or 33615 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 456506652660 in words is "four hundred fifty-six billion, five hundred six million, six hundred fifty-two thousand, six hundred sixty".