116680531968 has 1792 divisors, whose sum is σ = 507312046080. Its totient is φ = 25480396800.

The previous prime is 116680531909. The next prime is 116680531987. The reversal of 116680531968 is 869135086611.

116680531968 is a `hidden beast` number, since 1 + 16 + 6 + 8 + 0 + 531 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×116680531968² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3763888113 + ... + 3763888143.

It is an arithmetic number, because the mean of its divisors is an integer number (283098240).

Almost surely, 2^116680531968 is an apocalyptic number.

116680531968 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 116680531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253656023040).

116680531968 is an abundant number, since it is smaller than the sum of its proper divisors (390631514112).

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

116680531968 is a wasteful number, since it uses less digits than its factorization.

116680531968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 116680531968 in words is "one hundred sixteen billion, six hundred eighty million, five hundred thirty-one thousand, nine hundred sixty-eight".