21816616144032 has 72 divisors (see below), whose sum is σ = 62121262822164. Its totient is φ = 7262797538304.

The previous prime is 21816616144019. The next prime is 21816616144109. The reversal of 21816616144032 is 23044161661812.

21816616144032 is a `hidden beast` number, since 2 + 1 + 8 + 16 + 6 + 161 + 440 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21502473829776 + 314142314256 = 4637076^2 + 560484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48776173 + ... + 49221420.

Almost surely, 2^{21816616144032} is an apocalyptic number.

It is an amenable number.

21816616144032 is an abundant number, since it is smaller than the sum of its proper divisors (40304646678132).

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

21816616144032 is a wasteful number, since it uses less digits than its factorization.

21816616144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97998382 (or 97998371 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21816616144032 in words is "twenty-one trillion, eight hundred sixteen billion, six hundred sixteen million, one hundred forty-four thousand, thirty-two".