114053013360 has 320 divisors, whose sum is σ = 461530460160. Its totient is φ = 25522283520.

The previous prime is 114053013343. The next prime is 114053013443. The reversal of 114053013360 is 63310350411.

114053013360 is a `hidden beast` number, since 1 + 1 + 40 + 530 + 1 + 33 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124257 + ... + 493503.

It is an arithmetic number, because the mean of its divisors is an integer number (1442282688).

Almost surely, 2^114053013360 is an apocalyptic number.

114053013360 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 114053013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230765230080).

114053013360 is an abundant number, since it is smaller than the sum of its proper divisors (347477446800).

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

114053013360 is a wasteful number, since it uses less digits than its factorization.

114053013360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369293 (or 369281 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 114053013360 its reverse (63310350411), we get a palindrome (177363363771).

The spelling of 114053013360 in words is "one hundred fourteen billion, fifty-three million, thirteen thousand, three hundred sixty".