116917214400000 has 6480 divisors, whose sum is σ = 568566925918992. Its totient is φ = 23828152320000.

The previous prime is 116917214399987. The next prime is 116917214400073. The reversal of 116917214400000 is 4412719611.

116917214400000 is a `hidden beast` number, since 11 + 69 + 172 + 14 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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 polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 6153537599991 + ... + 6153537600009.

Almost surely, 2^{116917214400000} is an apocalyptic number.

116917214400000 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 116917214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284283462959496).

116917214400000 is an abundant number, since it is smaller than the sum of its proper divisors (451649711518992).

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

116917214400000 is an frugal number, since it uses more digits than its factorization.

116917214400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 116917214400000 in words is "one hundred sixteen trillion, nine hundred seventeen billion, two hundred fourteen million, four hundred thousand".