114013345320 has 192 divisors, whose sum is σ = 424067454720. Its totient is φ = 26023928832.

The previous prime is 114013345301. The next prime is 114013345331. The reversal of 114013345320 is 23543310411.

It is a happy number.

114013345320 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 334 + 5 + 320 = 666.

It is a super-2 number, since 2×114013345320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800924 + ... + 1863156.

It is an arithmetic number, because the mean of its divisors is an integer number (2208684660).

Almost surely, 2^114013345320 is an apocalyptic number.

114013345320 is a gapful number since it is divisible by the number (10) 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 114013345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212033727360).

114013345320 is an abundant number, since it is smaller than the sum of its proper divisors (310054109400).

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

114013345320 is a wasteful number, since it uses less digits than its factorization.

114013345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62984 (or 62977 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 114013345320 its reverse (23543310411), we get a palindrome (137556655731).

The spelling of 114013345320 in words is "one hundred fourteen billion, thirteen million, three hundred forty-five thousand, three hundred twenty".