22615962642 has 384 divisors, whose sum is σ = 65895137280. Its totient is φ = 5692498560.

The previous prime is 22615962641. The next prime is 22615962653. The reversal of 22615962642 is 24626951622.

22615962642 is a `hidden beast` number, since 2 + 2 + 6 + 15 + 9 + 626 + 4 + 2 = 666.

It is a super-2 number, since 2×22615962642² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22615962641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135424843 + ... + 135425009.

It is an arithmetic number, because the mean of its divisors is an integer number (171601920).

Almost surely, 2^22615962642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22615962642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947568640).

22615962642 is an abundant number, since it is smaller than the sum of its proper divisors (43279174638).

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

22615962642 is a wasteful number, since it uses less digits than its factorization.

22615962642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 22615962642 in words is "twenty-two billion, six hundred fifteen million, nine hundred sixty-two thousand, six hundred forty-two".