14877900625 has 135 divisors (see below), whose sum is σ = 23547756837. Its totient is φ = 9367680000.

The previous prime is 14877900607. The next prime is 14877900629. The reversal of 14877900625 is 52600977841.

The square root of 14877900625 is 121975.

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

It can be written as a sum of positive squares in 22 ways, for example, as 10780876561 + 4097024064 = 103831^2 + 64008^2 .

It is not a de Polignac number, because 14877900625 - 2¹³ = 14877892433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14877900629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 362875605 + ... + 362875645.

Almost surely, 2^14877900625 is an apocalyptic number.

14877900625 is the 121975-th square number.

14877900625 is the 60988-th centered octagonal number.

It is an amenable number.

14877900625 is a deficient number, since it is larger than the sum of its proper divisors (8669856212).

14877900625 is an frugal number, since it uses more digits than its factorization.

14877900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 14877900625 by its sum of digits (49), we get a square (729017130625 = 853825²).

14877900625 divided by its sum of digits (49) gives a square (303630625 = 17425²).

The spelling of 14877900625 in words is "fourteen billion, eight hundred seventy-seven million, nine hundred thousand, six hundred twenty-five".