22713829961472 has 576 divisors, whose sum is σ = 74372095759360. Its totient is φ = 6792528347136.

The previous prime is 22713829961411. The next prime is 22713829961507. The reversal of 22713829961472 is 27416992831722.

22713829961472 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 3 + 8 + 2 + 9 + 9 + 614 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3534123123 + ... + 3534129549.

Almost surely, 2^{22713829961472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22713829961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37186047879680).

22713829961472 is an abundant number, since it is smaller than the sum of its proper divisors (51658265797888).

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

22713829961472 is a wasteful number, since it uses less digits than its factorization.

22713829961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565 (or 7545 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 22713829961472 in words is "twenty-two trillion, seven hundred thirteen billion, eight hundred twenty-nine million, nine hundred sixty-one thousand, four hundred seventy-two".