11365265664 has 81 divisors (see below), whose sum is σ = 32783623509. Its totient is φ = 3786716160.

The previous prime is 11365265651. The next prime is 11365265711. The reversal of 11365265664 is 46656256311.

The square root of 11365265664 is 106608.

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

11365265664 is a `hidden beast` number, since 1 + 1 + 3 + 65 + 26 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7707435264 + 3657830400 = 87792^2 + 60480^2 .

It is a super-2 number, since 2×11365265664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5116074 + ... + 5118294.

Almost surely, 2^11365265664 is an apocalyptic number.

11365265664 is the 106608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11365265664

11365265664 is an abundant number, since it is smaller than the sum of its proper divisors (21418357845).

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

11365265664 is an frugal number, since it uses more digits than its factorization.

11365265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 2226 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 11365265664 in words is "eleven billion, three hundred sixty-five million, two hundred sixty-five thousand, six hundred sixty-four".