22638045864 has 192 divisors, whose sum is σ = 68136906240. Its totient is φ = 6242987520.

The previous prime is 22638045863. The next prime is 22638045883. The reversal of 22638045864 is 46854083622.

It is a super-3 number, since 3×22638045864³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22638045863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22347022 + ... + 22348034.

It is an arithmetic number, because the mean of its divisors is an integer number (354879720).

Almost surely, 2^22638045864 is an apocalyptic number.

22638045864 is a gapful number since it is divisible by the number (24) 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 22638045864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34068453120).

22638045864 is an abundant number, since it is smaller than the sum of its proper divisors (45498860376).

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

22638045864 is a wasteful number, since it uses less digits than its factorization.

22638045864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 22638045864 in words is "twenty-two billion, six hundred thirty-eight million, forty-five thousand, eight hundred sixty-four".