118353200625 has 225 divisors, whose sum is σ = 244598166813. Its totient is φ = 56970540000.

The previous prime is 118353200593. The next prime is 118353200629. The reversal of 118353200625 is 526002353811.

The square root of 118353200625 is 344025.

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

118353200625 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 5 + 3 + 20 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9278890929 + 109074309696 = 96327^2 + 330264^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 118353200625 - 2⁵ = 118353200593 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 118353200625.

It is not an unprimeable number, because it can be changed into a prime (118353200629) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 851461806 + ... + 851461944.

Almost surely, 2^118353200625 is an apocalyptic number.

118353200625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

118353200625 is the 344025-th square number.

118353200625 is the 172013-rd centered octagonal number.

It is an amenable number.

118353200625 is an abundant number, since it is smaller than the sum of its proper divisors (126244966188).

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

118353200625 is an frugal number, since it uses more digits than its factorization.

118353200625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 118353200625 by its sum of digits (36), we get a square (4260715222500 = 2064150²).

The spelling of 118353200625 in words is "one hundred eighteen billion, three hundred fifty-three million, two hundred thousand, six hundred twenty-five".