114025513052024 has 96 divisors (see below), whose sum is σ = 250291107237600. Its totient is φ = 48557102549760.

The previous prime is 114025513052021. The next prime is 114025513052107. The reversal of 114025513052024 is 420250315520411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114025513052021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38682734 + ... + 41525954.

It is an arithmetic number, because the mean of its divisors is an integer number (2607199033725).

Almost surely, 2^{114025513052024} is an apocalyptic number.

114025513052024 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 114025513052024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125145553618800).

114025513052024 is an abundant number, since it is smaller than the sum of its proper divisors (136265594185576).

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

114025513052024 is a wasteful number, since it uses less digits than its factorization.

114025513052024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843893 (or 2843882 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 114025513052024 its reverse (420250315520411), we get a palindrome (534275828572435).

The spelling of 114025513052024 in words is "one hundred fourteen trillion, twenty-five billion, five hundred thirteen million, fifty-two thousand, twenty-four".