82311844144 has 40 divisors (see below), whose sum is σ = 160329961440. Its totient is φ = 40936885248.

The previous prime is 82311844117. The next prime is 82311844183. The reversal of 82311844144 is 44144811328.

It is a happy number.

It is a super-2 number, since 2×82311844144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82311844097 and 82311844106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2612517 + ... + 2643835.

It is an arithmetic number, because the mean of its divisors is an integer number (4008249036).

Almost surely, 2^82311844144 is an apocalyptic number.

It is an amenable number.

82311844144 is a deficient number, since it is larger than the sum of its proper divisors (78018117296).

82311844144 is a wasteful number, since it uses less digits than its factorization.

82311844144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32197 (or 32191 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

It can be divided in two parts, 8231184 and 4144, that added together give a palindrome (8235328).

The spelling of 82311844144 in words is "eighty-two billion, three hundred eleven million, eight hundred forty-four thousand, one hundred forty-four".