114060165120 has 608 divisors, whose sum is σ = 443924288640. Its totient is φ = 27556577280.

The previous prime is 114060165101. The next prime is 114060165151. The reversal of 114060165120 is 21561060411.

114060165120 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 6 + 0 + 1 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×114060165120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 389283694 + ... + 389283986.

Almost surely, 2^114060165120 is an apocalyptic number.

114060165120 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 114060165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221962144320).

114060165120 is an abundant number, since it is smaller than the sum of its proper divisors (329864123520).

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

114060165120 is an frugal number, since it uses more digits than its factorization.

114060165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 114060165120 in words is "one hundred fourteen billion, sixty million, one hundred sixty-five thousand, one hundred twenty".