54600646100625 has 405 divisors, whose sum is σ = 106087026029413. Its totient is φ = 28090877760000.

The previous prime is 54600646100591. The next prime is 54600646100681. The reversal of 54600646100625 is 52600164600645.

The square root of 54600646100625 is 7389225.

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

54600646100625 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 0 + 6 + 4 + 6 + 10 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 7935134061969 + 46665512038656 = 2816937^2 + 6831216^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 54600646100625 - 2⁹ = 54600646100113 is a prime.

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 404 ways as a sum of consecutive naturals, for example, 613490405581 + ... + 613490405669.

Almost surely, 2^{54600646100625} is an apocalyptic number.

54600646100625 is the 7389225-th square number.

54600646100625 is the 3694613-rd centered octagonal number.

It is an amenable number.

54600646100625 is a deficient number, since it is larger than the sum of its proper divisors (51486379928788).

54600646100625 is an frugal number, since it uses more digits than its factorization.

54600646100625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54600646100625 in words is "fifty-four trillion, six hundred billion, six hundred forty-six million, one hundred thousand, six hundred twenty-five".