114113411121312 has 72 divisors (see below), whose sum is σ = 330632843352084. Its totient is φ = 37320109292544.

The previous prime is 114113411121293. The next prime is 114113411121383. The reversal of 114113411121312 is 213121114311411.

114113411121312 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 341 + 1 + 1 + 2 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114091365998736 + 22045122576 = 10681356^2 + 148476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3737976453 + ... + 3738006980.

Almost surely, 2^{114113411121312} is an apocalyptic number.

114113411121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114113411121312 is an abundant number, since it is smaller than the sum of its proper divisors (216519432230772).

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

114113411121312 is a wasteful number, since it uses less digits than its factorization.

114113411121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475983502 (or 7475983491 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

Adding to 114113411121312 its reverse (213121114311411), we get a palindrome (327234525432723).

The spelling of 114113411121312 in words is "one hundred fourteen trillion, one hundred thirteen billion, four hundred eleven million, one hundred twenty-one thousand, three hundred twelve".