114413582434944 has 512 divisors, whose sum is σ = 359760038400000. Its totient is φ = 31877616697344.

The previous prime is 114413582434891. The next prime is 114413582434951. The reversal of 114413582434944 is 449434285314411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3051905352 + ... + 3051942840.

It is an arithmetic number, because the mean of its divisors is an integer number (702656325000).

Almost surely, 2^{114413582434944} 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 114413582434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179880019200000).

114413582434944 is an abundant number, since it is smaller than the sum of its proper divisors (245346455965056).

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

114413582434944 is a wasteful number, since it uses less digits than its factorization.

114413582434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38960 (or 38948 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 57.

The spelling of 114413582434944 in words is "one hundred fourteen trillion, four hundred thirteen billion, five hundred eighty-two million, four hundred thirty-four thousand, nine hundred forty-four".