22488167116800 has 3744 divisors, whose sum is σ = 106085772409344. Its totient is φ = 4624692019200.

The previous prime is 22488167116693. The next prime is 22488167116817. The reversal of 22488167116800 is 861176188422.

22488167116800 is a `hidden beast` number, since 2 + 2 + 488 + 1 + 6 + 71 + 16 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 231836774352 + ... + 231836774448.

Almost surely, 2^{22488167116800} is an apocalyptic number.

22488167116800 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 22488167116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53042886204672).

22488167116800 is an abundant number, since it is smaller than the sum of its proper divisors (83597605292544).

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

22488167116800 is an frugal number, since it uses more digits than its factorization.

22488167116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 22488167116800 in words is "twenty-two trillion, four hundred eighty-eight billion, one hundred sixty-seven million, one hundred sixteen thousand, eight hundred".