114616995840 has 468 divisors, whose sum is σ = 413033501244. Its totient is φ = 30528700416.

The previous prime is 114616995827. The next prime is 114616995847. The reversal of 114616995840 is 48599616411.

114616995840 is a `hidden beast` number, since 1 + 1 + 46 + 16 + 9 + 9 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21069103104 + 93547892736 = 145152^2 + 305856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114616995847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134368854 + ... + 134369706.

Almost surely, 2^114616995840 is an apocalyptic number.

114616995840 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 114616995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206516750622).

114616995840 is an abundant number, since it is smaller than the sum of its proper divisors (298416505404).

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

114616995840 is an frugal number, since it uses more digits than its factorization.

114616995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

114616995840 divided by its product of nonzero digits (1866240) gives a palindrome (61416).

The spelling of 114616995840 in words is "one hundred fourteen billion, six hundred sixteen million, nine hundred ninety-five thousand, eight hundred forty".