9901618272 has 144 divisors (see below), whose sum is σ = 34655755680. Its totient is φ = 2611408896.

The previous prime is 9901618253. The next prime is 9901618291. The reversal of 9901618272 is 2728161099.

9901618272 is a `hidden beast` number, since 9 + 9 + 0 + 1 + 618 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9901618253) and next prime (9901618291).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162697 + ... + 215112.

It is an arithmetic number, because the mean of its divisors is an integer number (240664970).

Almost surely, 2^9901618272 is an apocalyptic number.

It is an amenable number.

9901618272 is an abundant number, since it is smaller than the sum of its proper divisors (24754137408).

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

9901618272 is a wasteful number, since it uses less digits than its factorization.

9901618272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377845 (or 377834 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9901618272 is about 99506.8755011431. The cubic root of 9901618272 is about 2147.3461593060.

The spelling of 9901618272 in words is "nine billion, nine hundred one million, six hundred eighteen thousand, two hundred seventy-two".