114811958844 has 384 divisors, whose sum is σ = 348399206400. Its totient is φ = 32602046400.

The previous prime is 114811958809. The next prime is 114811958851. The reversal of 114811958844 is 448859118411.

114811958844 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 1 + 19 + 588 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 346863759 + ... + 346864089.

It is an arithmetic number, because the mean of its divisors is an integer number (907289600).

Almost surely, 2^114811958844 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 114811958844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174199603200).

114811958844 is an abundant number, since it is smaller than the sum of its proper divisors (233587247556).

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

114811958844 is a wasteful number, since it uses less digits than its factorization.

114811958844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 493 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 54.

The spelling of 114811958844 in words is "one hundred fourteen billion, eight hundred eleven million, nine hundred fifty-eight thousand, eight hundred forty-four".