22642115456952 has 560 divisors, whose sum is σ = 69427542924480. Its totient is φ = 6919491990240.

The previous prime is 22642115456941. The next prime is 22642115457019. The reversal of 22642115456952 is 25965451124622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22642115456952 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 2 + 1 + 1 + 545 + 6 + 95 + 2 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 22642115456952 = 3534³ + 28272³ = 15903³ + 26505³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 730390821177 + ... + 730390821207.

Almost surely, 2^{22642115456952} 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 22642115456952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34713771462240).

22642115456952 is an abundant number, since it is smaller than the sum of its proper divisors (46785427467528).

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

22642115456952 is an frugal number, since it uses more digits than its factorization.

22642115456952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 55 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 22642115456952 in words is "twenty-two trillion, six hundred forty-two billion, one hundred fifteen million, four hundred fifty-six thousand, nine hundred fifty-two".