81832584306 has 64 divisors (see below), whose sum is σ = 180433443456. Its totient is φ = 24536064000.

The previous prime is 81832584289. The next prime is 81832584359. The reversal of 81832584306 is 60348523818.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4473130 + ... + 4491386.

It is an arithmetic number, because the mean of its divisors is an integer number (2819272554).

Almost surely, 2^81832584306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81832584306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90216721728).

81832584306 is an abundant number, since it is smaller than the sum of its proper divisors (98600859150).

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

81832584306 is a wasteful number, since it uses less digits than its factorization.

81832584306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18987.

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 81832584306 in words is "eighty-one billion, eight hundred thirty-two million, five hundred eighty-four thousand, three hundred six".