114542255324520 has 256 divisors, whose sum is σ = 391055155603200. Its totient is φ = 29806130027520.

The previous prime is 114542255324509. The next prime is 114542255324543. The reversal of 114542255324520 is 25423552245411.

114542255324520 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 22 + 553 + 24 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 48110514 + ... + 50435166.

It is an arithmetic number, because the mean of its divisors is an integer number (1527559201575).

Almost surely, 2^{114542255324520} is an apocalyptic number.

114542255324520 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 114542255324520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195527577801600).

114542255324520 is an abundant number, since it is smaller than the sum of its proper divisors (276512900278680).

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

114542255324520 is a wasteful number, since it uses less digits than its factorization.

114542255324520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325777 (or 2325767 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 114542255324520 in words is "one hundred fourteen trillion, five hundred forty-two billion, two hundred fifty-five million, three hundred twenty-four thousand, five hundred twenty".