114912525312 has 880 divisors, whose sum is σ = 399469593600. Its totient is φ = 32606945280.

The previous prime is 114912525311. The next prime is 114912525337. The reversal of 114912525312 is 213525219411.

114912525312 is a `hidden beast` number, since 1 + 1 + 4 + 91 + 252 + 5 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114912525311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1454588889 + ... + 1454588967.

It is an arithmetic number, because the mean of its divisors is an integer number (453942720).

Almost surely, 2^114912525312 is an apocalyptic number.

114912525312 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 114912525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199734796800).

114912525312 is an abundant number, since it is smaller than the sum of its proper divisors (284557068288).

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

114912525312 is a wasteful number, since it uses less digits than its factorization.

114912525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 114912525312 in words is "one hundred fourteen billion, nine hundred twelve million, five hundred twenty-five thousand, three hundred twelve".