114285582411 has 64 divisors (see below), whose sum is σ = 205083411456. Its totient is φ = 54671500800.

The previous prime is 114285582409. The next prime is 114285582431.

114285582411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114285582411 - 2¹ = 114285582409 is a prime.

It is a super-2 number, since 2×114285582411² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114285582431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1219065 + ... + 1309461.

It is an arithmetic number, because the mean of its divisors is an integer number (3204428304).

Almost surely, 2^114285582411 is an apocalyptic number.

114285582411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114285582411 is a deficient number, since it is larger than the sum of its proper divisors (90797829045).

114285582411 is a wasteful number, since it uses less digits than its factorization.

114285582411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90852.

The product of its digits is 102400, while the sum is 42.

It can be divided in two parts, 114285 and 582411, that added together give a palindrome (696696).

The spelling of 114285582411 in words is "one hundred fourteen billion, two hundred eighty-five million, five hundred eighty-two thousand, four hundred eleven".