114355516512 has 96 divisors (see below), whose sum is σ = 308629440000. Its totient is φ = 37056869888.

The previous prime is 114355516489. The next prime is 114355516519. The reversal of 114355516512 is 215615553411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114355516512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114355516519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587239 + ... + 757337.

It is an arithmetic number, because the mean of its divisors is an integer number (3214890000).

Almost surely, 2^114355516512 is an apocalyptic number.

114355516512 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 114355516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154314720000).

114355516512 is an abundant number, since it is smaller than the sum of its proper divisors (194273923488).

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

114355516512 is a wasteful number, since it uses less digits than its factorization.

114355516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170308 (or 170300 counting only the distinct ones).

The product of its digits is 90000, while the sum is 39.

The spelling of 114355516512 in words is "one hundred fourteen billion, three hundred fifty-five million, five hundred sixteen thousand, five hundred twelve".