22642142512032 has 384 divisors, whose sum is σ = 69649236357120. Its totient is φ = 7141997491200.

The previous prime is 22642142512027. The next prime is 22642142512079. The reversal of 22642142512032 is 23021524124622.

22642142512032 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 21 + 425 + 1 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2976483973 + ... + 2976491579.

It is an arithmetic number, because the mean of its divisors is an integer number (181378219680).

Almost surely, 2^{22642142512032} 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 22642142512032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34824618178560).

22642142512032 is an abundant number, since it is smaller than the sum of its proper divisors (47007093845088).

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

22642142512032 is a wasteful number, since it uses less digits than its factorization.

22642142512032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9219 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 22642142512032 its reverse (23021524124622), we get a palindrome (45663666636654).

The spelling of 22642142512032 in words is "twenty-two trillion, six hundred forty-two billion, one hundred forty-two million, five hundred twelve thousand, thirty-two".