22235630406624 has 96 divisors (see below), whose sum is σ = 65020642596000. Its totient is φ = 7392823022592.

The previous prime is 22235630406611. The next prime is 22235630406653. The reversal of 22235630406624 is 42660403653222.

22235630406624 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 5 + 630 + 4 + 0 + 6 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 22235630406624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32743189 + ... + 33415380.

It is an arithmetic number, because the mean of its divisors is an integer number (677298360375).

Almost surely, 2^{22235630406624} is an apocalyptic number.

22235630406624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22235630406624 is an abundant number, since it is smaller than the sum of its proper divisors (42785012189376).

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

22235630406624 is a wasteful number, since it uses less digits than its factorization.

22235630406624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66158977 (or 66158963 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 22235630406624 in words is "twenty-two trillion, two hundred thirty-five billion, six hundred thirty million, four hundred six thousand, six hundred twenty-four".