116824607816000 has 448 divisors, whose sum is σ = 345633875558400. Its totient is φ = 38271377664000.

The previous prime is 116824607815987. The next prime is 116824607816047. The reversal of 116824607816000 is 618706428611.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 116824607816000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136718081 + ... + 137569919.

Almost surely, 2^{116824607816000} is an apocalyptic number.

116824607816000 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 116824607816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172816937779200).

116824607816000 is an abundant number, since it is smaller than the sum of its proper divisors (228809267742400).

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

116824607816000 is an equidigital number, since it uses as much as digits as its factorization.

116824607816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851983 (or 851963 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 116824607816000 in words is "one hundred sixteen trillion, eight hundred twenty-four billion, six hundred seven million, eight hundred sixteen thousand".