114189154560 has 432 divisors, whose sum is σ = 434552961024. Its totient is φ = 27508359168.

The previous prime is 114189154531. The next prime is 114189154577. The reversal of 114189154560 is 65451981411.

114189154560 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 89 + 1 + 5 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7030609 + ... + 7046831.

It is an arithmetic number, because the mean of its divisors is an integer number (1005909632).

Almost surely, 2^114189154560 is an apocalyptic number.

114189154560 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 114189154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217276480512).

114189154560 is an abundant number, since it is smaller than the sum of its proper divisors (320363806464).

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

114189154560 is a wasteful number, since it uses less digits than its factorization.

114189154560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16310 (or 16293 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 114189154560 in words is "one hundred fourteen billion, one hundred eighty-nine million, one hundred fifty-four thousand, five hundred sixty".