114047425128 has 192 divisors, whose sum is σ = 369499536000. Its totient is φ = 29041141248.

The previous prime is 114047425103. The next prime is 114047425201. The reversal of 114047425128 is 821524740411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314733 + ... + 571971.

It is an arithmetic number, because the mean of its divisors is an integer number (1924476750).

Almost surely, 2^114047425128 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 114047425128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184749768000).

114047425128 is an abundant number, since it is smaller than the sum of its proper divisors (255452110872).

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

114047425128 is a wasteful number, since it uses less digits than its factorization.

114047425128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257304 (or 257293 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 114047425128 in words is "one hundred fourteen billion, forty-seven million, four hundred twenty-five thousand, one hundred twenty-eight".