116214436800 has 2688 divisors, whose sum is σ = 580534272000. Its totient is φ = 22353408000.

The previous prime is 116214436753. The next prime is 116214436829. The reversal of 116214436800 is 8634412611.

116214436800 is a `hidden beast` number, since 1 + 1 + 6 + 214 + 436 + 8 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3748852785 + ... + 3748852815.

Almost surely, 2^116214436800 is an apocalyptic number.

116214436800 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 116214436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290267136000).

116214436800 is an abundant number, since it is smaller than the sum of its proper divisors (464319835200).

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

116214436800 is a wasteful number, since it uses less digits than its factorization.

116214436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 116214436800 in words is "one hundred sixteen billion, two hundred fourteen million, four hundred thirty-six thousand, eight hundred".