116338345200 has 1920 divisors, whose sum is σ = 560916480000. Its totient is φ = 22170931200.

The previous prime is 116338345171. The next prime is 116338345213. The reversal of 116338345200 is 2543833611.

116338345200 is a `hidden beast` number, since 11 + 63 + 38 + 34 + 520 + 0 = 666.

It is a super-2 number, since 2×116338345200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 584614701 + ... + 584614899.

It is an arithmetic number, because the mean of its divisors is an integer number (292144000).

Almost surely, 2^116338345200 is an apocalyptic number.

116338345200 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 116338345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280458240000).

116338345200 is an abundant number, since it is smaller than the sum of its proper divisors (444578134800).

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

116338345200 is a wasteful number, since it uses less digits than its factorization.

116338345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 116338345200 in words is "one hundred sixteen billion, three hundred thirty-eight million, three hundred forty-five thousand, two hundred".