11565222989824 has 117 divisors (see below), whose sum is σ = 26907105402351. Its totient is φ = 4955871191040.

The previous prime is 11565222989773. The next prime is 11565222989857. The reversal of 11565222989824 is 42898922256511.

The square root of 11565222989824 is 3400768.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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, 1523540269 + ... + 1523547859.

Almost surely, 2^{11565222989824} is an apocalyptic number.

11565222989824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11565222989824 is the 3400768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11565222989824

11565222989824 is an abundant number, since it is smaller than the sum of its proper divisors (15341882412527).

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

11565222989824 is an frugal number, since it uses more digits than its factorization.

11565222989824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15220 (or 7600 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 64.

Multiplying 11565222989824 by its sum of digits (64), we get a square (740174271348736 = 27206144²).

11565222989824 divided by its sum of digits (64) gives a square (180706609216 = 425096²).

The spelling of 11565222989824 in words is "eleven trillion, five hundred sixty-five billion, two hundred twenty-two million, nine hundred eighty-nine thousand, eight hundred twenty-four".