323106980625 has 405 divisors, whose sum is σ = 707487001221. Its totient is φ = 141878880000.

The previous prime is 323106980617. The next prime is 323106980627. The reversal of 323106980625 is 526089601323.

The square root of 323106980625 is 568425.

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

323106980625 is a `hidden beast` number, since 3 + 2 + 3 + 10 + 6 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 263085900561 + 60021080064 = 512919^2 + 244992^2 .

It is not a de Polignac number, because 323106980625 - 2³ = 323106980617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (323106980627) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 6096358099 + ... + 6096358151.

Almost surely, 2^323106980625 is an apocalyptic number.

323106980625 is the 568425-th square number.

323106980625 is the 284213-rd centered octagonal number.

It is an amenable number.

323106980625 is an abundant number, since it is smaller than the sum of its proper divisors (384380020596).

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

323106980625 is a wasteful number, since it uses less digits than its factorization.

323106980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 323106980625 in words is "three hundred twenty-three billion, one hundred six million, nine hundred eighty thousand, six hundred twenty-five".