16224088585968 has 60 divisors (see below), whose sum is σ = 45476871914448. Its totient is φ = 5399458928640.

The previous prime is 16224088585933. The next prime is 16224088586071. The reversal of 16224088585968 is 86958588042261.

16224088585968 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 408 + 85 + 85 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16224088585896 and 16224088585905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89185905 + ... + 89367632.

Almost surely, 2^{16224088585968} is an apocalyptic number.

16224088585968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16224088585968 is an abundant number, since it is smaller than the sum of its proper divisors (29252783328480).

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

16224088585968 is a wasteful number, since it uses less digits than its factorization.

16224088585968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178554182 (or 178554173 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 16224088585968 in words is "sixteen trillion, two hundred twenty-four billion, eighty-eight million, five hundred eighty-five thousand, nine hundred sixty-eight".