116247507084000 has 1152 divisors, whose sum is σ = 440294180481792. Its totient is φ = 28945298227200.

The previous prime is 116247507083977. The next prime is 116247507084001. The reversal of 116247507084000 is 480705742611.

116247507084000 is a `hidden beast` number, since 1 + 1 + 62 + 4 + 7 + 507 + 0 + 84 + 0 + 0 + 0 = 666.

116247507084000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116247507084001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68501771152 + ... + 68501772848.

It is an arithmetic number, because the mean of its divisors is an integer number (382199809446).

Almost surely, 2^{116247507084000} is an apocalyptic number.

116247507084000 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 116247507084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147090240896).

116247507084000 is an abundant number, since it is smaller than the sum of its proper divisors (324046673397792).

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

116247507084000 is a wasteful number, since it uses less digits than its factorization.

116247507084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 116247507084000 in words is "one hundred sixteen trillion, two hundred forty-seven billion, five hundred seven million, eighty-four thousand".