8417396625625 has 135 divisors (see below), whose sum is σ = 11638711973889. Its totient is φ = 6082929216000.

The previous prime is 8417396625623. The next prime is 8417396625661. The reversal of 8417396625625 is 5265266937148.

It is a happy number.

The square root of 8417396625625 is 2901275.

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 491797846089 + 7925598779536 = 701283^2 + 2815244^2 .

It is not a de Polignac number, because 8417396625625 - 2¹ = 8417396625623 is a prime.

Its product of digits (130636800) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (8417396625623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 74490235569 + ... + 74490235681.

Almost surely, 2^{8417396625625} is an apocalyptic number.

8417396625625 is the 2901275-th square number.

8417396625625 is the 1450638-th centered octagonal number.

It is an amenable number.

8417396625625 is a deficient number, since it is larger than the sum of its proper divisors (3221315348264).

8417396625625 is an frugal number, since it uses more digits than its factorization.

8417396625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 210 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 64.

Multiplying 8417396625625 by its sum of digits (64), we get a square (538713384040000 = 23210200²).

The spelling of 8417396625625 in words is "eight trillion, four hundred seventeen billion, three hundred ninety-six million, six hundred twenty-five thousand, six hundred twenty-five".