114012535245520 has 40 divisors (see below), whose sum is σ = 265082114373120. Its totient is φ = 45604503143040.

The previous prime is 114012535245517. The next prime is 114012535245523. The reversal of 114012535245520 is 25542535210411.

It is an interprime number because it is at equal distance from previous prime (114012535245517) and next prime (114012535245523).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×114012535245520³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (114012535245523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758076 + ... + 15119515.

It is an arithmetic number, because the mean of its divisors is an integer number (6627052859328).

Almost surely, 2^{114012535245520} is an apocalyptic number.

114012535245520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114012535245520 is an abundant number, since it is smaller than the sum of its proper divisors (151069579127600).

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

114012535245520 is a wasteful number, since it uses less digits than its factorization.

114012535245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15967363 (or 15967357 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 114012535245520 in words is "one hundred fourteen trillion, twelve billion, five hundred thirty-five million, two hundred forty-five thousand, five hundred twenty".