116735947152 has 160 divisors (see below), whose sum is σ = 340585344000. Its totient is φ = 34128837120.

The previous prime is 116735947151. The next prime is 116735947183. The reversal of 116735947152 is 251749537611.

It is a super-2 number, since 2×116735947152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116735947095 and 116735947104.

It is not an unprimeable number, because it can be changed into a prime (116735947151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31219299 + ... + 31223037.

It is an arithmetic number, because the mean of its divisors is an integer number (2128658400).

Almost surely, 2^116735947152 is an apocalyptic number.

116735947152 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 116735947152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170292672000).

116735947152 is an abundant number, since it is smaller than the sum of its proper divisors (223849396848).

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

116735947152 is a wasteful number, since it uses less digits than its factorization.

116735947152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5823 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 51.

The spelling of 116735947152 in words is "one hundred sixteen billion, seven hundred thirty-five million, nine hundred forty-seven thousand, one hundred fifty-two".