9945291961584 has 120 divisors (see below), whose sum is σ = 32584981115232. Its totient is φ = 2772206807040.

The previous prime is 9945291961529. The next prime is 9945291961663. The reversal of 9945291961584 is 4851691925499.

9945291961584 is a `hidden beast` number, since 9 + 9 + 4 + 5 + 29 + 19 + 6 + 1 + 584 = 666.

It is a super-2 number, since 2×9945291961584² (a number of 27 digits) contains 22 as substring.

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

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, 120280149 + ... + 120362804.

Almost surely, 2^{9945291961584} is an apocalyptic number.

It is an amenable number.

9945291961584 is an abundant number, since it is smaller than the sum of its proper divisors (22639689153648).

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

9945291961584 is a wasteful number, since it uses less digits than its factorization.

9945291961584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240643015 (or 240643006 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 72.

The spelling of 9945291961584 in words is "nine trillion, nine hundred forty-five billion, two hundred ninety-one million, nine hundred sixty-one thousand, five hundred eighty-four".