114525253331320 has 256 divisors, whose sum is σ = 285627875702400. Its totient is φ = 41064807014400.

The previous prime is 114525253331303. The next prime is 114525253331323. The reversal of 114525253331320 is 23133352525411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114525253331323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17450134359 + ... + 17450140921.

Almost surely, 2^{114525253331320} is an apocalyptic number.

114525253331320 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 114525253331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142813937851200).

114525253331320 is an abundant number, since it is smaller than the sum of its proper divisors (171102622371080).

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

114525253331320 is a wasteful number, since it uses less digits than its factorization.

114525253331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13010 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 114525253331320 in words is "one hundred fourteen trillion, five hundred twenty-five billion, two hundred fifty-three million, three hundred thirty-one thousand, three hundred twenty".