114388627122720 has 1152 divisors, whose sum is σ = 413744295444480. Its totient is φ = 29840057856000.

The previous prime is 114388627122647. The next prime is 114388627122733. The reversal of 114388627122720 is 27221726883411.

114388627122720 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 8 + 8 + 627 + 1 + 2 + 2 + 7 + 2 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 152315082345 + ... + 152315083095.

It is an arithmetic number, because the mean of its divisors is an integer number (359153034240).

Almost surely, 2^{114388627122720} is an apocalyptic number.

114388627122720 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 114388627122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206872147722240).

114388627122720 is an abundant number, since it is smaller than the sum of its proper divisors (299355668321760).

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

114388627122720 is a wasteful number, since it uses less digits than its factorization.

114388627122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 114388627122720 in words is "one hundred fourteen trillion, three hundred eighty-eight billion, six hundred twenty-seven million, one hundred twenty-two thousand, seven hundred twenty".