22132143628992 has 224 divisors, whose sum is σ = 68552461685760. Its totient is φ = 6988113285120.

The previous prime is 22132143628967. The next prime is 22132143629033. The reversal of 22132143628992 is 29982634123122.

22132143628992 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 1 + 4 + 3 + 628 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×22132143628992² (a number of 27 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1390392 + ... + 6796872.

Almost surely, 2^{22132143628992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132143628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34276230842880).

22132143628992 is an abundant number, since it is smaller than the sum of its proper divisors (46420318056768).

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

22132143628992 is a wasteful number, since it uses less digits than its factorization.

22132143628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406628 (or 5406612 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 22132143628992 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred forty-three million, six hundred twenty-eight thousand, nine hundred ninety-two".