44616000625 has 135 divisors (see below), whose sum is σ = 69877934247. Its totient is φ = 28388640000.

The previous prime is 44616000607. The next prime is 44616000713. The reversal of 44616000625 is 52600061644.

The square root of 44616000625 is 211225.

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 21788416881 + 22827583744 = 147609^2 + 151088^2 .

It is not a de Polignac number, because 44616000625 - 2²¹ = 44613903473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 628394340 + ... + 628394410.

Almost surely, 2^44616000625 is an apocalyptic number.

44616000625 is the 211225-th square number.

44616000625 is the 105613-rd centered octagonal number.

It is an amenable number.

44616000625 is a deficient number, since it is larger than the sum of its proper divisors (25261933622).

44616000625 is an frugal number, since it uses more digits than its factorization.

44616000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 44616000625 in words is "forty-four billion, six hundred sixteen million, six hundred twenty-five", and thus it is an aban number.