114927580152 has 768 divisors, whose sum is σ = 420957388800. Its totient is φ = 27662342400.

The previous prime is 114927580111. The next prime is 114927580169. The reversal of 114927580152 is 251085729411.

114927580152 is a `hidden beast` number, since 1 + 1 + 49 + 27 + 580 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114927580098 and 114927580107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 904941513 + ... + 904941639.

It is an arithmetic number, because the mean of its divisors is an integer number (548121600).

Almost surely, 2^114927580152 is an apocalyptic number.

114927580152 is a gapful number since it is divisible by the number (12) 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 114927580152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210478694400).

114927580152 is an abundant number, since it is smaller than the sum of its proper divisors (306029808648).

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

114927580152 is a wasteful number, since it uses less digits than its factorization.

114927580152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 114927580152 in words is "one hundred fourteen billion, nine hundred twenty-seven million, five hundred eighty thousand, one hundred fifty-two".