22634116560 has 240 divisors, whose sum is σ = 85165441920. Its totient is φ = 5338690560.

The previous prime is 22634116541. The next prime is 22634116579. The reversal of 22634116560 is 6561143622.

22634116560 is a `hidden beast` number, since 2 + 2 + 634 + 1 + 16 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22634116541) and next prime (22634116579).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254421 + ... + 331659.

It is an arithmetic number, because the mean of its divisors is an integer number (354856008).

Almost surely, 2^22634116560 is an apocalyptic number.

22634116560 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 22634116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42582720960).

22634116560 is an abundant number, since it is smaller than the sum of its proper divisors (62531325360).

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

22634116560 is a wasteful number, since it uses less digits than its factorization.

22634116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77306 (or 77297 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22634116560 in words is "twenty-two billion, six hundred thirty-four million, one hundred sixteen thousand, five hundred sixty".