11656816267264 has 117 divisors (see below), whose sum is σ = 27120187960281. Its totient is φ = 4995122872320.

The previous prime is 11656816267207. The next prime is 11656816267267. The reversal of 11656816267264 is 46276261865611.

The square root of 11656816267264 is 3414208.

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

It can be written as a sum of positive squares in only one way, i.e., 10320850161664 + 1335966105600 = 3212608^2 + 1155840^2 .

It is a super-2 number, since 2×11656816267264² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11656816267267) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1529561374 + ... + 1529568994.

It is an arithmetic number, because the mean of its divisors is an integer number (231796478293).

Almost surely, 2^{11656816267264} is an apocalyptic number.

11656816267264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11656816267264 is the 3414208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11656816267264

11656816267264 is an abundant number, since it is smaller than the sum of its proper divisors (15463371693017).

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

11656816267264 is an frugal number, since it uses more digits than its factorization.

11656816267264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280 (or 7630 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 61.

The spelling of 11656816267264 in words is "eleven trillion, six hundred fifty-six billion, eight hundred sixteen million, two hundred sixty-seven thousand, two hundred sixty-four".