18693725625 has 45 divisors (see below), whose sum is σ = 33760278409. Its totient is φ = 9964518000.

The previous prime is 18693725587. The next prime is 18693725627. The reversal of 18693725625 is 52652739681.

The square root of 18693725625 is 136725.

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

18693725625 is a `hidden beast` number, since 1 + 8 + 6 + 9 + 3 + 7 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1465588089 + 17228137536 = 38283^2 + 131256^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 18693725625 - 2¹⁹ = 18693201337 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18693725627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10253464 + ... + 10255286.

Almost surely, 2^18693725625 is an apocalyptic number.

18693725625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18693725625 is the 136725-th square number.

18693725625 is the 68363-rd centered octagonal number.

It is an amenable number.

18693725625 is a deficient number, since it is larger than the sum of its proper divisors (15066552784).

18693725625 is an frugal number, since it uses more digits than its factorization.

18693725625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 1831 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 18693725625 in words is "eighteen billion, six hundred ninety-three million, seven hundred twenty-five thousand, six hundred twenty-five".