114429249396 has 432 divisors, whose sum is σ = 381165402240. Its totient is φ = 29664835200.

The previous prime is 114429249391. The next prime is 114429249397. The reversal of 114429249396 is 693942924411.

114429249396 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 2 + 9 + 249 + 396 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114429249391) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 219633616 + ... + 219634136.

It is an arithmetic number, because the mean of its divisors is an integer number (882327320).

Almost surely, 2^114429249396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114429249396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190582701120).

114429249396 is an abundant number, since it is smaller than the sum of its proper divisors (266736152844).

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

114429249396 is an equidigital number, since it uses as much as digits as its factorization.

114429249396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 544 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 114429249396 in words is "one hundred fourteen billion, four hundred twenty-nine million, two hundred forty-nine thousand, three hundred ninety-six".