118800906336 has 480 divisors, whose sum is σ = 424155916800. Its totient is φ = 31843528704.

The previous prime is 118800906317. The next prime is 118800906337. The reversal of 118800906336 is 633609008811.

It is a happy number.

118800906336 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 0 + 0 + 9 + 0 + 633 + 6 = 666.

It is a super-2 number, since 2×118800906336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 118800906291 and 118800906300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118800906337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184760031 + ... + 184760673.

It is an arithmetic number, because the mean of its divisors is an integer number (883658160).

Almost surely, 2^118800906336 is an apocalyptic number.

118800906336 is a gapful number since it is divisible by the number (16) 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 118800906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212077958400).

118800906336 is an abundant number, since it is smaller than the sum of its proper divisors (305355010464).

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

118800906336 is a wasteful number, since it uses less digits than its factorization.

118800906336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 118800906336 in words is "one hundred eighteen billion, eight hundred million, nine hundred six thousand, three hundred thirty-six".