9125584416 has 120 divisors (see below), whose sum is σ = 28902665484. Its totient is φ = 2807861760.

The previous prime is 9125584393. The next prime is 9125584463. The reversal of 9125584416 is 6144855219.

9125584416 is a `hidden beast` number, since 9 + 1 + 25 + 584 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7396688016 + 1728896400 = 86004^2 + 41580^2 .

It is a super-2 number, since 2×9125584416² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101715 + ... + 169106.

Almost surely, 2^9125584416 is an apocalyptic number.

9125584416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9125584416 is an abundant number, since it is smaller than the sum of its proper divisors (19777081068).

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

9125584416 is a wasteful number, since it uses less digits than its factorization.

9125584416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270856 (or 270839 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 9125584416 is about 95527.9247968886. The cubic root of 9125584416 is about 2089.7142086117.

The spelling of 9125584416 in words is "nine billion, one hundred twenty-five million, five hundred eighty-four thousand, four hundred sixteen".