22645008000 has 640 divisors, whose sum is σ = 85427868240. Its totient is φ = 5944320000.

The previous prime is 22645007993. The next prime is 22645008019. The reversal of 22645008000 is 80054622.

22645008000 is a `hidden beast` number, since 22 + 64 + 500 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9687283776 + 12957724224 = 98424^2 + 113832^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130895914 + ... + 130896086.

Almost surely, 2^22645008000 is an apocalyptic number.

22645008000 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 22645008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42713934120).

22645008000 is an abundant number, since it is smaller than the sum of its proper divisors (62782860240).

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

22645008000 is a wasteful number, since it uses less digits than its factorization.

22645008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 22645008000 in words is "twenty-two billion, six hundred forty-five million, eight thousand".