114187443166368 has 1152 divisors, whose sum is σ = 406479085608960. Its totient is φ = 30162700339200.

The previous prime is 114187443166331. The next prime is 114187443166501. The reversal of 114187443166368 is 863661344781411.

114187443166368 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 74 + 43 + 166 + 368 = 666.

It is a super-2 number, since 2×114187443166368² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9054584383 + ... + 9054596993.

It is an arithmetic number, because the mean of its divisors is an integer number (352846428480).

Almost surely, 2^{114187443166368} is an apocalyptic number.

114187443166368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114187443166368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203239542804480).

114187443166368 is an abundant number, since it is smaller than the sum of its proper divisors (292291642442592).

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

114187443166368 is a wasteful number, since it uses less digits than its factorization.

114187443166368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12775 (or 12742 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 114187443166368 in words is "one hundred fourteen trillion, one hundred eighty-seven billion, four hundred forty-three million, one hundred sixty-six thousand, three hundred sixty-eight".