22006834585632 has 480 divisors, whose sum is σ = 71160180537600. Its totient is φ = 6670153391616.

The previous prime is 22006834585613. The next prime is 22006834585633. The reversal of 22006834585632 is 23658543860022.

22006834585632 is a `hidden beast` number, since 2 + 20 + 0 + 6 + 8 + 3 + 4 + 58 + 563 + 2 = 666.

It is a super-2 number, since 2×22006834585632² (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 not an unprimeable number, because it can be changed into a prime (22006834585633) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 381510969 + ... + 381568647.

It is an arithmetic number, because the mean of its divisors is an integer number (148250376120).

Almost surely, 2^{22006834585632} 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 22006834585632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35580090268800).

22006834585632 is an abundant number, since it is smaller than the sum of its proper divisors (49153345951968).

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

22006834585632 is an equidigital number, since it uses as much as digits as its factorization.

22006834585632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57807 (or 57764 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 22006834585632 in words is "twenty-two trillion, six billion, eight hundred thirty-four million, five hundred eighty-five thousand, six hundred thirty-two".