114413020314411 has 32 divisors (see below), whose sum is σ = 187757010961408. Its totient is φ = 60348982193280.

The previous prime is 114413020314409. The next prime is 114413020314419.

114413020314411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114413020314411 - 2¹ = 114413020314409 is a prime.

It is a super-2 number, since 2×114413020314411² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114413020314419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20002881 + ... + 25078701.

It is an arithmetic number, because the mean of its divisors is an integer number (5867406592544).

Almost surely, 2^{114413020314411} is an apocalyptic number.

114413020314411 is a deficient number, since it is larger than the sum of its proper divisors (73343990646997).

114413020314411 is a wasteful number, since it uses less digits than its factorization.

114413020314411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158411.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 114413020314411 in words is "one hundred fourteen trillion, four hundred thirteen billion, twenty million, three hundred fourteen thousand, four hundred eleven".