114134520024 has 96 divisors (see below), whose sum is σ = 354587220000. Its totient is φ = 32488598016.

The previous prime is 114134520013. The next prime is 114134520029. The reversal of 114134520024 is 420025431411.

114134520024 is a `hidden beast` number, since 1 + 1 + 4 + 134 + 520 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×114134520024² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114134520024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114134520029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285349 + ... + 556500.

It is an arithmetic number, because the mean of its divisors is an integer number (3693616875).

Almost surely, 2^114134520024 is an apocalyptic number.

114134520024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114134520024 is an abundant number, since it is smaller than the sum of its proper divisors (240452699976).

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

114134520024 is a wasteful number, since it uses less digits than its factorization.

114134520024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842137 (or 842130 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 114134520024 its reverse (420025431411), we get a palindrome (534159951435).

The spelling of 114134520024 in words is "one hundred fourteen billion, one hundred thirty-four million, five hundred twenty thousand, twenty-four".