114012535245504 has 112 divisors (see below), whose sum is σ = 344764772057088. Its totient is φ = 32573821206528.

The previous prime is 114012535245467. The next prime is 114012535245509. The reversal of 114012535245504 is 405542535210411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×114012535245504³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (114012535245509) 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 15 ways as a sum of consecutive naturals, for example, 35623392 + ... + 38691744.

Almost surely, 2^{114012535245504} is an apocalyptic number.

114012535245504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114012535245504 is an abundant number, since it is smaller than the sum of its proper divisors (230752236811584).

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

114012535245504 is a wasteful number, since it uses less digits than its factorization.

114012535245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096022 (or 3096012 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 114012535245504 in words is "one hundred fourteen trillion, twelve billion, five hundred thirty-five million, two hundred forty-five thousand, five hundred four".