116383284864 has 512 divisors, whose sum is σ = 438736435200. Its totient is φ = 29489356800.

The previous prime is 116383284859. The next prime is 116383284917. The reversal of 116383284864 is 468482383611.

It is a happy number.

116383284864 is a `hidden beast` number, since 1 + 1 + 63 + 83 + 28 + 486 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116383284864.

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, 10905259 + ... + 10915925.

It is an arithmetic number, because the mean of its divisors is an integer number (856907100).

Almost surely, 2^116383284864 is an apocalyptic number.

116383284864 is a gapful number since it is divisible by the number (14) 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 116383284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219368217600).

116383284864 is an abundant number, since it is smaller than the sum of its proper divisors (322353150336).

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

116383284864 is a wasteful number, since it uses less digits than its factorization.

116383284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10749 (or 10731 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 116383284864 in words is "one hundred sixteen billion, three hundred eighty-three million, two hundred eighty-four thousand, eight hundred sixty-four".