114524252535420 has 216 divisors, whose sum is σ = 435192160070304. Its totient is φ = 24163358752512.

The previous prime is 114524252535401. The next prime is 114524252535449. The reversal of 114524252535420 is 24535252425411.

114524252535420 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 4 + 2 + 52 + 53 + 542 + 0 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 499293384 + ... + 499522703.

It is an arithmetic number, because the mean of its divisors is an integer number (2014778518844).

Almost surely, 2^{114524252535420} is an apocalyptic number.

114524252535420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114524252535420 is an abundant number, since it is smaller than the sum of its proper divisors (320667907534884).

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

114524252535420 is a wasteful number, since it uses less digits than its factorization.

114524252535420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998816129 (or 998816117 counting only the distinct ones).

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

The spelling of 114524252535420 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred fifty-two million, five hundred thirty-five thousand, four hundred twenty".