116823313152 has 864 divisors, whose sum is σ = 438116683200. Its totient is φ = 30614298624.

The previous prime is 116823313147. The next prime is 116823313231. The reversal of 116823313152 is 251313328611.

116823313152 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 2 + 331 + 315 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744097458 + ... + 744097614.

Almost surely, 2^116823313152 is an apocalyptic number.

116823313152 is a gapful number since it is divisible by the number (12) 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 116823313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219058341600).

116823313152 is an abundant number, since it is smaller than the sum of its proper divisors (321293370048).

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

116823313152 is an equidigital number, since it uses as much as digits as its factorization.

116823313152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 182 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 116823313152 in words is "one hundred sixteen billion, eight hundred twenty-three million, three hundred thirteen thousand, one hundred fifty-two".