82148113712 has 80 divisors (see below), whose sum is σ = 187947589632. Its totient is φ = 34037902080.

The previous prime is 82148113703. The next prime is 82148113759. The reversal of 82148113712 is 21731184128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784073 + ... + 3805719.

Almost surely, 2^82148113712 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 82148113712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93973794816).

82148113712 is an abundant number, since it is smaller than the sum of its proper divisors (105799475920).

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

82148113712 is a wasteful number, since it uses less digits than its factorization.

82148113712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22786 (or 22780 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The spelling of 82148113712 in words is "eighty-two billion, one hundred forty-eight million, one hundred thirteen thousand, seven hundred twelve".