114111400000000 has 360 divisors, whose sum is σ = 306929813554980. Its totient is φ = 42132480000000.

The previous prime is 114111399999983. The next prime is 114111400000049. The reversal of 114111400000000 is 4111411.

It can be written as a sum of positive squares in 18 ways, for example, as 88854905458944 + 25256494541056 = 9426288^2 + 5025584^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2599978056 + ... + 2600021944.

Almost surely, 2^{114111400000000} is an apocalyptic number.

114111400000000 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 114111400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153464906777490).

114111400000000 is an abundant number, since it is smaller than the sum of its proper divisors (192818413554980).

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

114111400000000 is an frugal number, since it uses more digits than its factorization.

114111400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43960 (or 43909 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 114111400000000 its reverse (4111411), we get a palindrome (114111404111411).

The spelling of 114111400000000 in words is "one hundred fourteen trillion, one hundred eleven billion, four hundred million", and thus it is an aban number.