114320402320 has 80 divisors (see below), whose sum is σ = 279927440640. Its totient is φ = 43299228672.

The previous prime is 114320402293. The next prime is 114320402321. The reversal of 114320402320 is 23204023411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114320402320² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114320402291 and 114320402300.

It is not an unprimeable number, because it can be changed into a prime (114320402321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117532 + ... + 3153988.

It is an arithmetic number, because the mean of its divisors is an integer number (3499093008).

Almost surely, 2^114320402320 is an apocalyptic number.

114320402320 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 114320402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139963720320).

114320402320 is an abundant number, since it is smaller than the sum of its proper divisors (165607038320).

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

114320402320 is a wasteful number, since it uses less digits than its factorization.

114320402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38552 (or 38546 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 114320402320 its reverse (23204023411), we get a palindrome (137524425731).

The spelling of 114320402320 in words is "one hundred fourteen billion, three hundred twenty million, four hundred two thousand, three hundred twenty".