114351335000 has 160 divisors (see below), whose sum is σ = 306834781440. Its totient is φ = 39124944000.

The previous prime is 114351334967. The next prime is 114351335083. The reversal of 114351335000 is 533153411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18301877 + ... + 18308123.

It is an arithmetic number, because the mean of its divisors is an integer number (1917717384).

Almost surely, 2^114351335000 is an apocalyptic number.

114351335000 is a gapful number since it is divisible by the number (10) 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 114351335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153417390720).

114351335000 is an abundant number, since it is smaller than the sum of its proper divisors (192483446440).

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

114351335000 is an equidigital number, since it uses as much as digits as its factorization.

114351335000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 114351335000 its reverse (533153411), we get a palindrome (114884488411).

The spelling of 114351335000 in words is "one hundred fourteen billion, three hundred fifty-one million, three hundred thirty-five thousand".