82141861536 has 576 divisors, whose sum is σ = 303340826880. Its totient is φ = 21319925760.

The previous prime is 82141861513. The next prime is 82141861561. The reversal of 82141861536 is 63516814128.

82141861536 is a `hidden beast` number, since 8 + 2 + 14 + 18 + 615 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82141861491 and 82141861500.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26833446 + ... + 26836506.

It is an arithmetic number, because the mean of its divisors is an integer number (526633380).

Almost surely, 2^82141861536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82141861536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151670413440).

82141861536 is an abundant number, since it is smaller than the sum of its proper divisors (221198965344).

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

82141861536 is a wasteful number, since it uses less digits than its factorization.

82141861536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3119 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 82141861536 in words is "eighty-two billion, one hundred forty-one million, eight hundred sixty-one thousand, five hundred thirty-six".