114517311516 has 96 divisors (see below), whose sum is σ = 298811842560. Its totient is φ = 37926705600.

The previous prime is 114517311511. The next prime is 114517311539. The reversal of 114517311516 is 615113715411.

114517311516 is a `hidden beast` number, since 1 + 14 + 51 + 73 + 11 + 516 = 666.

It is a super-2 number, since 2×114517311516² (a number of 23 digits) 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 (114517311511) 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, 19944406 + ... + 19950146.

It is an arithmetic number, because the mean of its divisors is an integer number (3112623360).

Almost surely, 2^114517311516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114517311516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149405921280).

114517311516 is an abundant number, since it is smaller than the sum of its proper divisors (184294531044).

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

114517311516 is a wasteful number, since it uses less digits than its factorization.

114517311516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6904 counting only the distinct ones).

The product of its digits is 12600, while the sum is 36.

The spelling of 114517311516 in words is "one hundred fourteen billion, five hundred seventeen million, three hundred eleven thousand, five hundred sixteen".