22938044728320 has 528 divisors, whose sum is σ = 84232585330560. Its totient is φ = 5919461130240.

The previous prime is 22938044728309. The next prime is 22938044728331. The reversal of 22938044728320 is 2382744083922.

22938044728320 is a `hidden beast` number, since 2 + 2 + 93 + 8 + 0 + 4 + 472 + 83 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22938044728309) and next prime (22938044728331).

It is a super-2 number, since 2×22938044728320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132762309 + ... + 132934971.

Almost surely, 2^{22938044728320} is an apocalyptic number.

22938044728320 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 22938044728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42116292665280).

22938044728320 is an abundant number, since it is smaller than the sum of its proper divisors (61294540602240).

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

22938044728320 is a wasteful number, since it uses less digits than its factorization.

22938044728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172759 (or 172704 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 22938044728320 in words is "twenty-two trillion, nine hundred thirty-eight billion, forty-four million, seven hundred twenty-eight thousand, three hundred twenty".