334633325625 has 105 divisors (see below), whose sum is σ = 627682320331. Its totient is φ = 178262856000.

The previous prime is 334633325581. The next prime is 334633325657. The reversal of 334633325625 is 526523336433.

The square root of 334633325625 is 578475.

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

334633325625 is a `hidden beast` number, since 3 + 3 + 4 + 633 + 3 + 2 + 5 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 93795800121 + 240837525504 = 306261^2 + 490752^2 .

It is not a de Polignac number, because 334633325625 - 2²⁵ = 334599771193 is a prime.

It is a super-2 number, since 2×334633325625² (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 390470197 + ... + 390471053.

Almost surely, 2^334633325625 is an apocalyptic number.

334633325625 is the 578475-th square number.

334633325625 is the 289238-th centered octagonal number.

It is an amenable number.

334633325625 is a deficient number, since it is larger than the sum of its proper divisors (293048994706).

334633325625 is an frugal number, since it uses more digits than its factorization.

334633325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 865 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 45.

The spelling of 334633325625 in words is "three hundred thirty-four billion, six hundred thirty-three million, three hundred twenty-five thousand, six hundred twenty-five".