114185125088 has 96 divisors (see below), whose sum is σ = 249866394624. Its totient is φ = 51089201152.

The previous prime is 114185125069. The next prime is 114185125099. The reversal of 114185125088 is 880521581411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062181 + ... + 2116827.

It is an arithmetic number, because the mean of its divisors is an integer number (2602774944).

Almost surely, 2^114185125088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114185125088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124933197312).

114185125088 is an abundant number, since it is smaller than the sum of its proper divisors (135681269536).

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

114185125088 is a wasteful number, since it uses less digits than its factorization.

114185125088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54864 (or 54856 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 44.

The spelling of 114185125088 in words is "one hundred fourteen billion, one hundred eighty-five million, one hundred twenty-five thousand, eighty-eight".