18727472625625 has 135 divisors (see below), whose sum is σ = 24959803024299. Its totient is φ = 14046107544000.

The previous prime is 18727472625607. The next prime is 18727472625661. The reversal of 18727472625625 is 52652627472781.

The square root of 18727472625625 is 4327525.

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 14006777808969 + 4720694816656 = 3742563^2 + 2172716^2 .

It is a de Polignac number, because none of the positive numbers 2^k-18727472625625 is a prime.

It is a Duffinian number.

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, 147460414312 + ... + 147460414438.

Almost surely, 2^{18727472625625} is an apocalyptic number.

18727472625625 is the 4327525-th square number.

18727472625625 is the 2163763-rd centered octagonal number.

It is an amenable number.

18727472625625 is a deficient number, since it is larger than the sum of its proper divisors (6232330398674).

18727472625625 is an frugal number, since it uses more digits than its factorization.

18727472625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 208 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 64.

The spelling of 18727472625625 in words is "eighteen trillion, seven hundred twenty-seven billion, four hundred seventy-two million, six hundred twenty-five thousand, six hundred twenty-five".