114394742784 has 540 divisors, whose sum is σ = 399894759264. Its totient is φ = 30863130624.

The previous prime is 114394742773. The next prime is 114394742837. The reversal of 114394742784 is 487247493411.

114394742784 is a `hidden beast` number, since 1 + 143 + 9 + 474 + 27 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114394742784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372621159 + ... + 372621465.

Almost surely, 2^114394742784 is an apocalyptic number.

114394742784 is a gapful number since it is divisible by the number (14) 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 114394742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199947379632).

114394742784 is an abundant number, since it is smaller than the sum of its proper divisors (285500016480).

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

114394742784 is an equidigital number, since it uses as much as digits as its factorization.

114394742784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 338 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 114394742784 in words is "one hundred fourteen billion, three hundred ninety-four million, seven hundred forty-two thousand, seven hundred eighty-four".