114041101140411 has 48 divisors (see below), whose sum is σ = 164696500233600. Its totient is φ = 70156788774912.

The previous prime is 114041101140341. The next prime is 114041101140413.

114041101140411 is nontrivially palindromic in base 10.

114041101140411 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 114041101140411 - 2²² = 114041096946107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114041101140413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16445811 + ... + 22328163.

It is an arithmetic number, because the mean of its divisors is an integer number (3431177088200).

Almost surely, 2^{114041101140411} is an apocalyptic number.

114041101140411 is a deficient number, since it is larger than the sum of its proper divisors (50655399093189).

114041101140411 is a wasteful number, since it uses less digits than its factorization.

114041101140411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882828 (or 5882811 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

It can be divided in two parts, 11404110 and 1140411, that added together give a palindrome (12544521).

The spelling of 114041101140411 in words is "one hundred fourteen trillion, forty-one billion, one hundred one million, one hundred forty thousand, four hundred eleven".