118225945600 has 297 divisors, whose sum is σ = 342017302293. Its totient is φ = 40402575360.

The previous prime is 118225945567. The next prime is 118225945601. The reversal of 118225945600 is 6549522811.

The square root of 118225945600 is 343840.

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

It can be written as a sum of positive squares in only one way, i.e., 42561340416 + 75664605184 = 206304^2 + 275072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118225945601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 385100647 + ... + 385100953.

Almost surely, 2^118225945600 is an apocalyptic number.

118225945600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118225945600 is the 343840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118225945600

118225945600 is an abundant number, since it is smaller than the sum of its proper divisors (223791356693).

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

118225945600 is an frugal number, since it uses more digits than its factorization.

118225945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 118225945600 in words is "one hundred eighteen billion, two hundred twenty-five million, nine hundred forty-five thousand, six hundred".