114189250560 has 416 divisors, whose sum is σ = 455533880832. Its totient is φ = 23726653440.

The previous prime is 114189250493. The next prime is 114189250577. The reversal of 114189250560 is 65052981411.

It is a Cunningham number, because it is equal to 337919²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4718812 + ... + 4742948.

Almost surely, 2^114189250560 is an apocalyptic number.

114189250560 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 114189250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227766940416).

114189250560 is an abundant number, since it is smaller than the sum of its proper divisors (341344630272).

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

114189250560 is a wasteful number, since it uses less digits than its factorization.

114189250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24187 (or 24165 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 114189250560 in words is "one hundred fourteen billion, one hundred eighty-nine million, two hundred fifty thousand, five hundred sixty".