114085005840 has 480 divisors, whose sum is σ = 423454397184. Its totient is φ = 27352166400.

The previous prime is 114085005823. The next prime is 114085005863. The reversal of 114085005840 is 48500580411.

114085005840 is a `hidden beast` number, since 1 + 140 + 8 + 500 + 5 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114085005795 and 114085005804.

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 95 ways as a sum of consecutive naturals, for example, 74907319 + ... + 74908841.

Almost surely, 2^114085005840 is an apocalyptic number.

114085005840 is a gapful number since it is divisible by the number (10) 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 114085005840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211727198592).

114085005840 is an abundant number, since it is smaller than the sum of its proper divisors (309369391344).

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

114085005840 is a wasteful number, since it uses less digits than its factorization.

114085005840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 114085005840 in words is "one hundred fourteen billion, eighty-five million, five thousand, eight hundred forty".