118430828006400 has 6336 divisors, whose sum is σ = 571690509465600. Its totient is φ = 23793594531840.

The previous prime is 118430828006329. The next prime is 118430828006411. The reversal of 118430828006400 is 4600828034811.

118430828006400 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 308 + 280 + 0 + 64 + 0 + 0 = 666.

118430828006400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×118430828006400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1220936371152 + ... + 1220936371248.

Almost surely, 2^{118430828006400} is an apocalyptic number.

118430828006400 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 118430828006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285845254732800).

118430828006400 is an abundant number, since it is smaller than the sum of its proper divisors (453259681459200).

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

118430828006400 is a wasteful number, since it uses less digits than its factorization.

118430828006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 118430828006400 in words is "one hundred eighteen trillion, four hundred thirty billion, eight hundred twenty-eight million, six thousand, four hundred".