114418912608 has 1440 divisors, whose sum is σ = 481461361920. Its totient is φ = 25866086400.

The previous prime is 114418912583. The next prime is 114418912679. The reversal of 114418912608 is 806219814411.

114418912608 is a `hidden beast` number, since 1 + 1 + 441 + 89 + 126 + 0 + 8 = 666.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 542269623 + ... + 542269833.

It is an arithmetic number, because the mean of its divisors is an integer number (334348168).

Almost surely, 2^114418912608 is an apocalyptic number.

114418912608 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 114418912608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240730680960).

114418912608 is an abundant number, since it is smaller than the sum of its proper divisors (367042449312).

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

114418912608 is a wasteful number, since it uses less digits than its factorization.

114418912608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 114418912608 in words is "one hundred fourteen billion, four hundred eighteen million, nine hundred twelve thousand, six hundred eight".