22000132951632 has 360 divisors, whose sum is σ = 69242018227200. Its totient is φ = 6513486819840.

The previous prime is 22000132951607. The next prime is 22000132951661. The reversal of 22000132951632 is 23615923100022.

22000132951632 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 13 + 2 + 9 + 5 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220659969 + ... + 220759647.

It is an arithmetic number, because the mean of its divisors is an integer number (192338939520).

Almost surely, 2^{22000132951632} is an apocalyptic number.

22000132951632 is a gapful number since it is divisible by the number (22) 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 22000132951632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34621009113600).

22000132951632 is an abundant number, since it is smaller than the sum of its proper divisors (47241885275568).

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

22000132951632 is a wasteful number, since it uses less digits than its factorization.

22000132951632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100007 (or 99987 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 22000132951632 in words is "twenty-two trillion, one hundred thirty-two million, nine hundred fifty-one thousand, six hundred thirty-two".