114502145520 has 240 divisors, whose sum is σ = 420701778720. Its totient is φ = 25677969408.

The previous prime is 114502145503. The next prime is 114502145521. The reversal of 114502145520 is 25541205411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×114502145520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114502145521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531426 + ... + 715134.

It is an arithmetic number, because the mean of its divisors is an integer number (1752924078).

Almost surely, 2^114502145520 is an apocalyptic number.

114502145520 is a gapful number since it is divisible by the number (10) 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 114502145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210350889360).

114502145520 is an abundant number, since it is smaller than the sum of its proper divisors (306199633200).

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

114502145520 is a wasteful number, since it uses less digits than its factorization.

114502145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183792 (or 183779 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 114502145520 in words is "one hundred fourteen billion, five hundred two million, one hundred forty-five thousand, five hundred twenty".