114834513024 has 512 divisors, whose sum is σ = 424635955200. Its totient is φ = 29680128000.

The previous prime is 114834513007. The next prime is 114834513029. The reversal of 114834513024 is 420315438411.

114834513024 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 345 + 1 + 302 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114834513024.

It is not an unprimeable number, because it can be changed into a prime (114834513029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60406474 + ... + 60408374.

It is an arithmetic number, because the mean of its divisors is an integer number (829367100).

Almost surely, 2^114834513024 is an apocalyptic number.

114834513024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114834513024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212317977600).

114834513024 is an abundant number, since it is smaller than the sum of its proper divisors (309801442176).

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

114834513024 is a wasteful number, since it uses less digits than its factorization.

114834513024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 114834513024 in words is "one hundred fourteen billion, eight hundred thirty-four million, five hundred thirteen thousand, twenty-four".