22966881108864 has 1536 divisors, whose sum is σ = 84166329139200. Its totient is φ = 5410437120000.

The previous prime is 22966881108839. The next prime is 22966881108877. The reversal of 22966881108864 is 46880118866922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19348677679 + ... + 19348678865.

It is an arithmetic number, because the mean of its divisors is an integer number (54795787200).

Almost surely, 2^{22966881108864} is an apocalyptic number.

22966881108864 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 22966881108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42083164569600).

22966881108864 is an abundant number, since it is smaller than the sum of its proper divisors (61199448030336).

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

22966881108864 is a wasteful number, since it uses less digits than its factorization.

22966881108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 69.

The spelling of 22966881108864 in words is "twenty-two trillion, nine hundred sixty-six billion, eight hundred eighty-one million, one hundred eight thousand, eight hundred sixty-four".