22968814632960 has 1536 divisors, whose sum is σ = 88613352622080. Its totient is φ = 5062596231168.

The previous prime is 22968814632919. The next prime is 22968814633003. The reversal of 22968814632960 is 6923641886922.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 22968814632891 and 22968814632900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116592967582 + ... + 116592967778.

It is an arithmetic number, because the mean of its divisors is an integer number (57690984780).

Almost surely, 2^{22968814632960} is an apocalyptic number.

22968814632960 is a gapful number since it is divisible by the number (20) 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 22968814632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44306676311040).

22968814632960 is an abundant number, since it is smaller than the sum of its proper divisors (65644537989120).

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

22968814632960 is a wasteful number, since it uses less digits than its factorization.

22968814632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 22968814632960 in words is "twenty-two trillion, nine hundred sixty-eight billion, eight hundred fourteen million, six hundred thirty-two thousand, nine hundred sixty".