114735557412 has 432 divisors, whose sum is σ = 380933280000. Its totient is φ = 28848089088.

The previous prime is 114735557401. The next prime is 114735557413. The reversal of 114735557412 is 214755537411.

114735557412 is a `hidden beast` number, since 1 + 1 + 4 + 73 + 5 + 5 + 574 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (114735557413) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 45010714 + ... + 45013262.

It is an arithmetic number, because the mean of its divisors is an integer number (881790000).

Almost surely, 2^114735557412 is an apocalyptic number.

114735557412 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 114735557412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640000).

114735557412 is an abundant number, since it is smaller than the sum of its proper divisors (266197722588).

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

114735557412 is a wasteful number, since it uses less digits than its factorization.

114735557412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2676 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The spelling of 114735557412 in words is "one hundred fourteen billion, seven hundred thirty-five million, five hundred fifty-seven thousand, four hundred twelve".