116811924768 has 720 divisors, whose sum is σ = 440197879968. Its totient is φ = 30296851200.

The previous prime is 116811924737. The next prime is 116811924787. The reversal of 116811924768 is 867429118611.

116811924768 is a `hidden beast` number, since 1 + 1 + 6 + 81 + 1 + 92 + 476 + 8 = 666.

It is a super-3 number, since 3×116811924768³ (a number of 34 digits) contains 333 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 169047303 + ... + 169047993.

Almost surely, 2^116811924768 is an apocalyptic number.

116811924768 is a gapful number since it is divisible by the number (18) 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 116811924768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220098939984).

116811924768 is an abundant number, since it is smaller than the sum of its proper divisors (323385955200).

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

116811924768 is an equidigital number, since it uses as much as digits as its factorization.

116811924768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 714 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 116811924768 in words is "one hundred sixteen billion, eight hundred eleven million, nine hundred twenty-four thousand, seven hundred sixty-eight".