18775850625 has 315 divisors, whose sum is σ = 42380317551. Its totient is φ = 8287272000.

The previous prime is 18775850623. The next prime is 18775850633. The reversal of 18775850625 is 52605857781.

The square root of 18775850625 is 137025.

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

18775850625 is a `hidden beast` number, since 1 + 8 + 7 + 7 + 5 + 8 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 14042961009 + 4732889616 = 118503^2 + 68796^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 18775850625 - 2¹ = 18775850623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18775850623) by changing a digit.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 647443111 + ... + 647443139.

Almost surely, 2^18775850625 is an apocalyptic number.

18775850625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18775850625 is the 137025-th square number.

18775850625 is the 68513-rd centered octagonal number.

It is an amenable number.

18775850625 is an abundant number, since it is smaller than the sum of its proper divisors (23604466926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18775850625 is an frugal number, since it uses more digits than its factorization.

18775850625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 18775850625 in words is "eighteen billion, seven hundred seventy-five million, eight hundred fifty thousand, six hundred twenty-five".