114605568000 has 2496 divisors, whose sum is σ = 574088186880. Its totient is φ = 21233664000.

The previous prime is 114605567837. The next prime is 114605568001. The reversal of 114605568000 is 865506411.

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

It is not an unprimeable number, because it can be changed into a prime (114605568001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6031871991 + ... + 6031872009.

It is an arithmetic number, because the mean of its divisors is an integer number (230003280).

Almost surely, 2^114605568000 is an apocalyptic number.

114605568000 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 114605568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287044093440).

114605568000 is an abundant number, since it is smaller than the sum of its proper divisors (459482618880).

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

114605568000 is a wasteful number, since it uses less digits than its factorization.

114605568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 114605568000 in words is "one hundred fourteen billion, six hundred five million, five hundred sixty-eight thousand".