22865547048960 has 2304 divisors, whose sum is σ = 98127884574720. Its totient is φ = 4407471636480.

The previous prime is 22865547048941. The next prime is 22865547048961. The reversal of 22865547048960 is 6984074556822.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 22865547048891 and 22865547048900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22865547048961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74480609127 + ... + 74480609433.

It is an arithmetic number, because the mean of its divisors is an integer number (42590227680).

Almost surely, 2^{22865547048960} is an apocalyptic number.

22865547048960 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 22865547048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49063942287360).

22865547048960 is an abundant number, since it is smaller than the sum of its proper divisors (75262337525760).

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

22865547048960 is a wasteful number, since it uses less digits than its factorization.

22865547048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 22865547048960 in words is "twenty-two trillion, eight hundred sixty-five billion, five hundred forty-seven million, forty-eight thousand, nine hundred sixty".