22114868160 has 672 divisors, whose sum is σ = 90398315520. Its totient is φ = 4528742400.

The previous prime is 22114868129. The next prime is 22114868179. The reversal of 22114868160 is 6186841122.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40877490 + ... + 40878030.

Almost surely, 2^22114868160 is an apocalyptic number.

22114868160 is a gapful number since it is divisible by the number (20) 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 22114868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45199157760).

22114868160 is an abundant number, since it is smaller than the sum of its proper divisors (68283447360).

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

22114868160 is a wasteful number, since it uses less digits than its factorization.

22114868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 22114868160 in words is "twenty-two billion, one hundred fourteen million, eight hundred sixty-eight thousand, one hundred sixty".