22412515968 has 384 divisors, whose sum is σ = 71080617600. Its totient is φ = 7024900608.

The previous prime is 22412515967. The next prime is 22412515973. The reversal of 22412515968 is 86951521422.

22412515968 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 2 + 51 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412515967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379873123 + ... + 379873181.

It is an arithmetic number, because the mean of its divisors is an integer number (185105775).

Almost surely, 2^22412515968 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 22412515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35540308800).

22412515968 is an abundant number, since it is smaller than the sum of its proper divisors (48668101632).

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

22412515968 is an frugal number, since it uses more digits than its factorization.

22412515968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 87 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 22412515968 in words is "twenty-two billion, four hundred twelve million, five hundred fifteen thousand, nine hundred sixty-eight".