118208896041600 has 4608 divisors, whose sum is σ = 564258910118400. Its totient is φ = 23529872424960.

The previous prime is 118208896041583. The next prime is 118208896041631. The reversal of 118208896041600 is 6140698802811.

It is a happy number.

118208896041600 is a `hidden beast` number, since 1 + 1 + 8 + 20 + 8 + 8 + 9 + 6 + 0 + 4 + 1 + 600 = 666.

It is a super-2 number, since 2×118208896041600² (a number of 29 digits) contains 22 as substring.

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

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, 403443331054 + ... + 403443331346.

It is an arithmetic number, because the mean of its divisors is an integer number (122452020425).

Almost surely, 2^{118208896041600} is an apocalyptic number.

118208896041600 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 118208896041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282129455059200).

118208896041600 is an abundant number, since it is smaller than the sum of its proper divisors (446050014076800).

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

118208896041600 is a wasteful number, since it uses less digits than its factorization.

118208896041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 118208896041600 in words is "one hundred eighteen trillion, two hundred eight billion, eight hundred ninety-six million, forty-one thousand, six hundred".