22956462720 has 768 divisors, whose sum is σ = 91824969600. Its totient is φ = 5446434816.

The previous prime is 22956462689. The next prime is 22956462721. The reversal of 22956462720 is 2726465922.

22956462720 is a `hidden beast` number, since 2 + 2 + 9 + 564 + 62 + 7 + 20 = 666.

It is a super-2 number, since 2×22956462720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22956462721) 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, 50232732 + ... + 50233188.

Almost surely, 2^22956462720 is an apocalyptic number.

22956462720 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 22956462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45912484800).

22956462720 is an abundant number, since it is smaller than the sum of its proper divisors (68868506880).

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

22956462720 is a wasteful number, since it uses less digits than its factorization.

22956462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 22956462720 in words is "twenty-two billion, nine hundred fifty-six million, four hundred sixty-two thousand, seven hundred twenty".