118665128930400 has 3456 divisors, whose sum is σ = 514401451200000. Its totient is φ = 26161639096320.

The previous prime is 118665128930363. The next prime is 118665128930401. The reversal of 118665128930400 is 4039821566811.

It is a happy number.

118665128930400 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 6 + 51 + 289 + 304 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118665128930401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 237805869351 + ... + 237805869849.

It is an arithmetic number, because the mean of its divisors is an integer number (148843012500).

Almost surely, 2^{118665128930400} is an apocalyptic number.

118665128930400 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 118665128930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257200725600000).

118665128930400 is an abundant number, since it is smaller than the sum of its proper divisors (395736322269600).

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

118665128930400 is a wasteful number, since it uses less digits than its factorization.

118665128930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 118665128930400 in words is "one hundred eighteen trillion, six hundred sixty-five billion, one hundred twenty-eight million, nine hundred thirty thousand, four hundred".