114031314200320 has 144 divisors (see below), whose sum is σ = 298216484764128. Its totient is φ = 41431853957120.

The previous prime is 114031314200311. The next prime is 114031314200329. The reversal of 114031314200320 is 23002413130411.

It is an interprime number because it is at equal distance from previous prime (114031314200311) and next prime (114031314200329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031314200329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13807992 + ... + 20462728.

It is an arithmetic number, because the mean of its divisors is an integer number (2070947810862).

Almost surely, 2^{114031314200320} is an apocalyptic number.

114031314200320 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 114031314200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149108242382064).

114031314200320 is an abundant number, since it is smaller than the sum of its proper divisors (184185170563808).

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

114031314200320 is a wasteful number, since it uses less digits than its factorization.

114031314200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655986 (or 6655972 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 114031314200320 its reverse (23002413130411), we get a palindrome (137033727330731).

The spelling of 114031314200320 in words is "one hundred fourteen trillion, thirty-one billion, three hundred fourteen million, two hundred thousand, three hundred twenty".