22612181889024 has 1248 divisors, whose sum is σ = 85091612437440. Its totient is φ = 5880620777472.

The previous prime is 22612181888963. The next prime is 22612181889041. The reversal of 22612181889024 is 42098818121622.

22612181889024 is a `hidden beast` number, since 2 + 2 + 612 + 1 + 8 + 18 + 8 + 9 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×22612181889024² (a number of 28 digits) contains 22 as substring.

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

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, 5142636394 + ... + 5142640790.

Almost surely, 2^{22612181889024} is an apocalyptic number.

22612181889024 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 22612181889024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42545806218720).

22612181889024 is an abundant number, since it is smaller than the sum of its proper divisors (62479430548416).

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

22612181889024 is a wasteful number, since it uses less digits than its factorization.

22612181889024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 22612181889024 in words is "twenty-two trillion, six hundred twelve billion, one hundred eighty-one million, eight hundred eighty-nine thousand, twenty-four".