114540980897280 has 960 divisors, whose sum is σ = 430578563583168. Its totient is φ = 25898275307520.

The previous prime is 114540980897263. The next prime is 114540980897303. The reversal of 114540980897280 is 82798089045411.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×114540980897280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13145982204 + ... + 13145990916.

Almost surely, 2^{114540980897280} is an apocalyptic number.

114540980897280 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 114540980897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215289281791584).

114540980897280 is an abundant number, since it is smaller than the sum of its proper divisors (316037582685888).

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

114540980897280 is a wasteful number, since it uses less digits than its factorization.

114540980897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9127 (or 9104 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 66.

The spelling of 114540980897280 in words is "one hundred fourteen trillion, five hundred forty billion, nine hundred eighty million, eight hundred ninety-seven thousand, two hundred eighty".