114334131450024 has 128 divisors (see below), whose sum is σ = 323935512336000. Its totient is φ = 37352041039872.

The previous prime is 114334131449987. The next prime is 114334131450043. The reversal of 114334131450024 is 420054131433411.

114334131450024 is a `hidden beast` number, since 1 + 1 + 4 + 334 + 1 + 314 + 5 + 0 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×114334131450024² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5259919 + ... + 16010465.

It is an arithmetic number, because the mean of its divisors is an integer number (2530746190125).

Almost surely, 2^{114334131450024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114334131450024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161967756168000).

114334131450024 is an abundant number, since it is smaller than the sum of its proper divisors (209601380885976).

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

114334131450024 is a wasteful number, since it uses less digits than its factorization.

114334131450024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10751544 (or 10751534 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 114334131450024 its reverse (420054131433411), we get a palindrome (534388262883435).

The spelling of 114334131450024 in words is "one hundred fourteen trillion, three hundred thirty-four billion, one hundred thirty-one million, four hundred fifty thousand, twenty-four".