118437782400 has 1728 divisors, whose sum is σ = 531401925600. Its totient is φ = 24979046400.

The previous prime is 118437782389. The next prime is 118437782413. The reversal of 118437782400 is 4287734811.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1330761556 + ... + 1330761644.

Almost surely, 2^118437782400 is an apocalyptic number.

118437782400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118437782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265700962800).

118437782400 is an abundant number, since it is smaller than the sum of its proper divisors (412964143200).

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

118437782400 is a wasteful number, since it uses less digits than its factorization.

118437782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 118437782400 in words is "one hundred eighteen billion, four hundred thirty-seven million, seven hundred eighty-two thousand, four hundred".