456084524564 has 48 divisors (see below), whose sum is σ = 836374064400. Its totient is φ = 217382870016.

The previous prime is 456084524563. The next prime is 456084524591. The reversal of 456084524564 is 465425480654.

It can be written as a sum of positive squares in 8 ways, for example, as 79604108164 + 376480416400 = 282142^2 + 613580^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456084524563) 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, 5520392 + ... + 5602400.

It is an arithmetic number, because the mean of its divisors is an integer number (17424459675).

Almost surely, 2^456084524564 is an apocalyptic number.

It is an amenable number.

456084524564 is a deficient number, since it is larger than the sum of its proper divisors (380289539836).

456084524564 is a wasteful number, since it uses less digits than its factorization.

456084524564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82812 (or 82810 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 53.

The spelling of 456084524564 in words is "four hundred fifty-six billion, eighty-four million, five hundred twenty-four thousand, five hundred sixty-four".