10548933264 has 135 divisors (see below), whose sum is σ = 30753292297. Its totient is φ = 3505218624.

The previous prime is 10548933253. The next prime is 10548933271. The reversal of 10548933264 is 46233984501.

The square root of 10548933264 is 102708.

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

10548933264 is a `hidden beast` number, since 10 + 548 + 9 + 3 + 32 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 590490000 + 9958443264 = 24300^2 + 99792^2 .

It is a super-2 number, since 2×10548933264² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33277234 + ... + 33277550.

Almost surely, 2^10548933264 is an apocalyptic number.

10548933264 is the 102708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10548933264

10548933264 is an abundant number, since it is smaller than the sum of its proper divisors (20204359033).

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

10548933264 is an frugal number, since it uses more digits than its factorization.

10548933264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10548933264 in words is "ten billion, five hundred forty-eight million, nine hundred thirty-three thousand, two hundred sixty-four".