114314311320 has 128 divisors (see below), whose sum is σ = 374633130240. Its totient is φ = 27674519040.

The previous prime is 114314311313. The next prime is 114314311343. The reversal of 114314311320 is 23113413411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908487 + ... + 1026633.

It is an arithmetic number, because the mean of its divisors is an integer number (2926821330).

Almost surely, 2^114314311320 is an apocalyptic number.

114314311320 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 114314311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187316565120).

114314311320 is an abundant number, since it is smaller than the sum of its proper divisors (260318818920).

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

114314311320 is a wasteful number, since it uses less digits than its factorization.

114314311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118905 (or 118901 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 114314311320 its reverse (23113413411), we get a palindrome (137427724731).

The spelling of 114314311320 in words is "one hundred fourteen billion, three hundred fourteen million, three hundred eleven thousand, three hundred twenty".