114080894176338 has 96 divisors (see below), whose sum is σ = 257180655992832. Its totient is φ = 36507264796800.

The previous prime is 114080894176331. The next prime is 114080894176343. The reversal of 114080894176338 is 833671498080411.

114080894176338 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 80 + 89 + 417 + 63 + 3 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (114080894176331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868255408 + ... + 868386788.

It is an arithmetic number, because the mean of its divisors is an integer number (2678965166592).

Almost surely, 2^{114080894176338} is an apocalyptic number.

114080894176338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114080894176338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128590327996416).

114080894176338 is an abundant number, since it is smaller than the sum of its proper divisors (143099761816494).

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

114080894176338 is a wasteful number, since it uses less digits than its factorization.

114080894176338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143800 (or 143797 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 114080894176338 in words is "one hundred fourteen trillion, eighty billion, eight hundred ninety-four million, one hundred seventy-six thousand, three hundred thirty-eight".