22142865640896 has 2688 divisors, whose sum is σ = 96625247846400. Its totient is φ = 4833710899200.

The previous prime is 22142865640877. The next prime is 22142865640939. The reversal of 22142865640896 is 69804656824122.

22142865640896 is a `hidden beast` number, since 2 + 2 + 1 + 428 + 65 + 64 + 0 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8204098555 + ... + 8204101253.

It is an arithmetic number, because the mean of its divisors is an integer number (35946892800).

Almost surely, 2^{22142865640896} is an apocalyptic number.

22142865640896 is a gapful number since it is divisible by the number (26) 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 22142865640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48312623923200).

22142865640896 is an abundant number, since it is smaller than the sum of its proper divisors (74482382205504).

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

22142865640896 is a wasteful number, since it uses less digits than its factorization.

22142865640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 22142865640896 in words is "twenty-two trillion, one hundred forty-two billion, eight hundred sixty-five million, six hundred forty thousand, eight hundred ninety-six".