45358350625 has 45 divisors (see below), whose sum is σ = 65987860719. Its totient is φ = 31077312000.

The previous prime is 45358350617. The next prime is 45358350707. The reversal of 45358350625 is 52605385354.

The square root of 45358350625 is 212975.

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 40481842401 + 4876508224 = 201201^2 + 69832^2 .

It is not a de Polignac number, because 45358350625 - 2³ = 45358350617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37270017 + ... + 37271233.

Almost surely, 2^45358350625 is an apocalyptic number.

45358350625 is the 212975-th square number.

45358350625 is the 106488-th centered octagonal number.

It is an amenable number.

45358350625 is a deficient number, since it is larger than the sum of its proper divisors (20629510094).

45358350625 is an frugal number, since it uses more digits than its factorization.

45358350625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 46.

The spelling of 45358350625 in words is "forty-five billion, three hundred fifty-eight million, three hundred fifty thousand, six hundred twenty-five".