22656816000 has 1728 divisors, whose sum is σ = 107885746800. Its totient is φ = 4528742400.

The previous prime is 22656815963. The next prime is 22656816037. The reversal of 22656816000 is 61865622.

It is an interprime number because it is at equal distance from previous prime (22656815963) and next prime (22656816037).

It is a super-2 number, since 2×22656816000² (a number of 22 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 1192463991 + ... + 1192464009.

Almost surely, 2^22656816000 is an apocalyptic number.

22656816000 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 22656816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53942873400).

22656816000 is an abundant number, since it is smaller than the sum of its proper divisors (85228930800).

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

22656816000 is a wasteful number, since it uses less digits than its factorization.

22656816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22656816000 in words is "twenty-two billion, six hundred fifty-six million, eight hundred sixteen thousand".