116192814487200 has 2016 divisors, whose sum is σ = 489408610844160. Its totient is φ = 26628744038400.

The previous prime is 116192814487193. The next prime is 116192814487223. The reversal of 116192814487200 is 2784418291611.

It is a happy number.

116192814487200 is a `hidden beast` number, since 1 + 1 + 6 + 192 + 8 + 1 + 448 + 7 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×116192814487200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 90563377759 + ... + 90563379041.

It is an arithmetic number, because the mean of its divisors is an integer number (242762207760).

Almost surely, 2^{116192814487200} is an apocalyptic number.

116192814487200 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 116192814487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244704305422080).

116192814487200 is an abundant number, since it is smaller than the sum of its proper divisors (373215796356960).

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

116192814487200 is a wasteful number, since it uses less digits than its factorization.

116192814487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 116192814487200 in words is "one hundred sixteen trillion, one hundred ninety-two billion, eight hundred fourteen million, four hundred eighty-seven thousand, two hundred".