114514342345120 has 192 divisors, whose sum is σ = 274419676984320. Its totient is φ = 45150883135488.

The previous prime is 114514342345103. The next prime is 114514342345157. The reversal of 114514342345120 is 21543243415411.

It is a super-2 number, since 2×114514342345120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 24986762349 + ... + 24986766931.

It is an arithmetic number, because the mean of its divisors is an integer number (1429269150960).

Almost surely, 2^{114514342345120} is an apocalyptic number.

114514342345120 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 114514342345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137209838492160).

114514342345120 is an abundant number, since it is smaller than the sum of its proper divisors (159905334639200).

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

114514342345120 is a wasteful number, since it uses less digits than its factorization.

114514342345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 114514342345120 in words is "one hundred fourteen trillion, five hundred fourteen billion, three hundred forty-two million, three hundred forty-five thousand, one hundred twenty".