9384879075625 has 45 divisors (see below), whose sum is σ = 11796173452899. Its totient is φ = 7464095568000.

The previous prime is 9384879075569. The next prime is 9384879075629. The reversal of 9384879075625 is 5265709784839.

The square root of 9384879075625 is 3063475.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9353694341161 + 31184734464 = 3058381^2 + 176592^2 .

It is not a de Polignac number, because 9384879075625 - 2⁷ = 9384879075497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9384879075629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21674085409 + ... + 21674085841.

Almost surely, 2^{9384879075625} is an apocalyptic number.

9384879075625 is the 3063475-th square number.

9384879075625 is the 1531738-th centered octagonal number.

It is an amenable number.

9384879075625 is a deficient number, since it is larger than the sum of its proper divisors (2411294377274).

9384879075625 is an frugal number, since it uses more digits than its factorization.

9384879075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 73.

The spelling of 9384879075625 in words is "nine trillion, three hundred eighty-four billion, eight hundred seventy-nine million, seventy-five thousand, six hundred twenty-five".