114404504052511 has 16 divisors (see below), whose sum is σ = 115123752057600. Its totient is φ = 113686723402560.

The previous prime is 114404504052497. The next prime is 114404504052523. The reversal of 114404504052511 is 115250405404411.

It is a cyclic number.

It is not a de Polignac number, because 114404504052511 - 2⁷ = 114404504052383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114404504055511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2590014456 + ... + 2590058626.

It is an arithmetic number, because the mean of its divisors is an integer number (7195234503600).

Almost surely, 2^{114404504052511} is an apocalyptic number.

114404504052511 is a deficient number, since it is larger than the sum of its proper divisors (719248005089).

114404504052511 is a wasteful number, since it uses less digits than its factorization.

114404504052511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60414.

The product of its (nonzero) digits is 64000, while the sum is 37.

Adding to 114404504052511 its reverse (115250405404411), we get a palindrome (229654909456922).

It can be divided in two parts, 11440450 and 4052511, that added together give a triangular number (15492961 = T₅₅₆₆).

The spelling of 114404504052511 in words is "one hundred fourteen trillion, four hundred four billion, five hundred four million, fifty-two thousand, five hundred eleven".