10456698564 has 405 divisors, whose sum is σ = 32657625693. Its totient is φ = 2915580096.

The previous prime is 10456698493. The next prime is 10456698599. The reversal of 10456698564 is 46589665401.

The square root of 10456698564 is 102258.

It is a perfect power (a square), and thus also a powerful number.

10456698564 is a `hidden beast` number, since 10 + 4 + 5 + 6 + 69 + 8 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1546848900 + 8909849664 = 39330^2 + 94392^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10456698564.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 454639057 + ... + 454639079.

Almost surely, 2^10456698564 is an apocalyptic number.

10456698564 is the 102258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10456698564

10456698564 is an abundant number, since it is smaller than the sum of its proper divisors (22200927129).

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

10456698564 is a wasteful number, since it uses less digits than its factorization.

10456698564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 10456698564 in words is "ten billion, four hundred fifty-six million, six hundred ninety-eight thousand, five hundred sixty-four".