22865060254464 has 648 divisors, whose sum is σ = 70015015586880. Its totient is φ = 7172223860736.

The previous prime is 22865060254451. The next prime is 22865060254481. The reversal of 22865060254464 is 46445206056822.

22865060254464 is a `hidden beast` number, since 2 + 2 + 86 + 50 + 6 + 0 + 2 + 54 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22865060254464.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13193917342 + ... + 13193919074.

It is an arithmetic number, because the mean of its divisors is an integer number (108047863560).

Almost surely, 2^{22865060254464} is an apocalyptic number.

22865060254464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22865060254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35007507793440).

22865060254464 is an abundant number, since it is smaller than the sum of its proper divisors (47149955332416).

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

22865060254464 is a wasteful number, since it uses less digits than its factorization.

22865060254464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 22865060254464 in words is "twenty-two trillion, eight hundred sixty-five billion, sixty million, two hundred fifty-four thousand, four hundred sixty-four".