22945608000 has 672 divisors, whose sum is σ = 95687205120. Its totient is φ = 5139763200.

The previous prime is 22945607989. The next prime is 22945608029. The reversal of 22945608000 is 80654922.

It is a happy number.

22945608000 is a `hidden beast` number, since 2 + 2 + 9 + 45 + 608 + 0 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 26711571 + ... + 26712429.

Almost surely, 2^22945608000 is an apocalyptic number.

22945608000 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 22945608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47843602560).

22945608000 is an abundant number, since it is smaller than the sum of its proper divisors (72741597120).

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

22945608000 is a wasteful number, since it uses less digits than its factorization.

22945608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 929 counting only the distinct ones).

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

The spelling of 22945608000 in words is "twenty-two billion, nine hundred forty-five million, six hundred eight thousand".