116208833241600 has 2520 divisors, whose sum is σ = 484577416029168. Its totient is φ = 27377292902400.

The previous prime is 116208833241593. The next prime is 116208833241623. The reversal of 116208833241600 is 6142338802611.

116208833241600 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 0 + 8 + 8 + 3 + 32 + 4 + 1 + 600 = 666.

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 251 ways as a sum of consecutive naturals, for example, 140518540387 + ... + 140518541213.

Almost surely, 2^{116208833241600} is an apocalyptic number.

116208833241600 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 116208833241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242288708014584).

116208833241600 is an abundant number, since it is smaller than the sum of its proper divisors (368368582787568).

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

116208833241600 is an frugal number, since it uses more digits than its factorization.

116208833241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 116208833241600 in words is "one hundred sixteen trillion, two hundred eight billion, eight hundred thirty-three million, two hundred forty-one thousand, six hundred".