861411114168 has 64 divisors (see below), whose sum is σ = 2412797742720. Its totient is φ = 253978704000.

The previous prime is 861411114139. The next prime is 861411114181.

861411114168 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×861411114168² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44083758 + ... + 44103293.

It is an arithmetic number, because the mean of its divisors is an integer number (37699964730).

Almost surely, 2^861411114168 is an apocalyptic number.

861411114168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

861411114168 is an abundant number, since it is smaller than the sum of its proper divisors (1551386628552).

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

861411114168 is a wasteful number, since it uses less digits than its factorization.

861411114168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88187108 (or 88187104 counting only the distinct ones).

The product of its digits is 36864, while the sum is 42.

It can be divided in two parts, 861411 and 114168, that added together give a palindrome (975579).

The spelling of 861411114168 in words is "eight hundred sixty-one billion, four hundred eleven million, one hundred fourteen thousand, one hundred sixty-eight".