114512625335808 has 720 divisors, whose sum is σ = 404935108989840. Its totient is φ = 30976598016000.

The previous prime is 114512625335747. The next prime is 114512625335821. The reversal of 114512625335808 is 808533526215411.

114512625335808 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 2 + 6 + 2 + 53 + 3 + 580 + 8 = 666.

It is a super-2 number, since 2×114512625335808² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 7726369038 + ... + 7726383858.

It is an arithmetic number, because the mean of its divisors is an integer number (562409873597).

Almost surely, 2^{114512625335808} is an apocalyptic number.

114512625335808 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 114512625335808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202467554494920).

114512625335808 is an abundant number, since it is smaller than the sum of its proper divisors (290422483654032).

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

114512625335808 is a wasteful number, since it uses less digits than its factorization.

114512625335808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16679 (or 16653 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 114512625335808 in words is "one hundred fourteen trillion, five hundred twelve billion, six hundred twenty-five million, three hundred thirty-five thousand, eight hundred eight".