9358857600625 has 45 divisors (see below), whose sum is σ = 12664976292309. Its totient is φ = 6910422168000.

The previous prime is 9358857600619. The next prime is 9358857600629. The reversal of 9358857600625 is 5260067588539.

The square root of 9358857600625 is 3059225.

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

It can be written as a sum of positive squares in 22 ways, for example, as 9313379479089 + 45478121536 = 3051783^2 + 213256^2 .

It is not a de Polignac number, because 9358857600625 - 2⁷ = 9358857600497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9358857600629) 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, 994243419 + ... + 994252831.

Almost surely, 2^{9358857600625} is an apocalyptic number.

9358857600625 is the 3059225-th square number.

9358857600625 is the 1529613-rd centered octagonal number.

It is an amenable number.

9358857600625 is a deficient number, since it is larger than the sum of its proper divisors (3306118691684).

9358857600625 is an frugal number, since it uses more digits than its factorization.

9358857600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18872 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 64.

Multiplying 9358857600625 by its sum of digits (64), we get a square (598966886440000 = 24473800²).

The spelling of 9358857600625 in words is "nine trillion, three hundred fifty-eight billion, eight hundred fifty-seven million, six hundred thousand, six hundred twenty-five".