114842695968 has 1536 divisors, whose sum is σ = 487223009280. Its totient is φ = 25321144320.

The previous prime is 114842695873. The next prime is 114842696011. The reversal of 114842695968 is 869596248411.

114842695968 is a `hidden beast` number, since 1 + 1 + 484 + 2 + 6 + 95 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1073296171 + ... + 1073296277.

It is an arithmetic number, because the mean of its divisors is an integer number (317202480).

Almost surely, 2^114842695968 is an apocalyptic number.

114842695968 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 114842695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243611504640).

114842695968 is an abundant number, since it is smaller than the sum of its proper divisors (372380313312).

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

114842695968 is a wasteful number, since it uses less digits than its factorization.

114842695968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 114842695968 in words is "one hundred fourteen billion, eight hundred forty-two million, six hundred ninety-five thousand, nine hundred sixty-eight".