118328294400 has 264 divisors, whose sum is σ = 400187255424. Its totient is φ = 30819532800.

The previous prime is 118328294393. The next prime is 118328294429. The reversal of 118328294400 is 4492823811.

It is a super-2 number, since 2×118328294400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3284485 + ... + 3320315.

It is an arithmetic number, because the mean of its divisors is an integer number (1515860816).

Almost surely, 2^118328294400 is an apocalyptic number.

118328294400 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 118328294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200093627712).

118328294400 is an abundant number, since it is smaller than the sum of its proper divisors (281858961024).

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

118328294400 is a wasteful number, since it uses less digits than its factorization.

118328294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35907 (or 35884 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 118328294400 in words is "one hundred eighteen billion, three hundred twenty-eight million, two hundred ninety-four thousand, four hundred".