22632986967552 has 960 divisors, whose sum is σ = 75777523261440. Its totient is φ = 6736827801600.

The previous prime is 22632986967533. The next prime is 22632986967553. The reversal of 22632986967552 is 25576968923622.

22632986967552 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 2 + 9 + 8 + 6 + 9 + 67 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22632986967553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8473599177 + ... + 8473601847.

It is an arithmetic number, because the mean of its divisors is an integer number (78934920064).

Almost surely, 2^{22632986967552} 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 22632986967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37888761630720).

22632986967552 is an abundant number, since it is smaller than the sum of its proper divisors (53144536293888).

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

22632986967552 is an frugal number, since it uses more digits than its factorization.

22632986967552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2720 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 22632986967552 in words is "twenty-two trillion, six hundred thirty-two billion, nine hundred eighty-six million, nine hundred sixty-seven thousand, five hundred fifty-two".