116956512 has 72 divisors (see below), whose sum is σ = 337211784. Its totient is φ = 38444544.

The previous prime is 116956487. The next prime is 116956513. The reversal of 116956512 is 215659611.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×116956512² = 27357651398412288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116956513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18243 + ... + 23805.

It is an arithmetic number, because the mean of its divisors is an integer number (4683497).

Almost surely, 2^116956512 is an apocalyptic number.

116956512 is a gapful number since it is divisible by the number (12) 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 116956512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168605892).

116956512 is an abundant number, since it is smaller than the sum of its proper divisors (220255272).

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

116956512 is a wasteful number, since it uses less digits than its factorization.

116956512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5641 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 116956512 is about 10814.6434060490. The cubic root of 116956512 is about 489.0367192370.

The spelling of 116956512 in words is "one hundred sixteen million, nine hundred fifty-six thousand, five hundred twelve".