82363139712 has 256 divisors, whose sum is σ = 283058323200. Its totient is φ = 23087960064.

The previous prime is 82363139657. The next prime is 82363139713. The reversal of 82363139712 is 21793136328.

82363139712 is a `hidden beast` number, since 8 + 2 + 3 + 631 + 3 + 9 + 7 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82363139713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250058 + ... + 1314294.

It is an arithmetic number, because the mean of its divisors is an integer number (1105696575).

Almost surely, 2^82363139712 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 82363139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141529161600).

82363139712 is an abundant number, since it is smaller than the sum of its proper divisors (200695183488).

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

82363139712 is a wasteful number, since it uses less digits than its factorization.

82363139712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64320 (or 64302 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 82363139712 in words is "eighty-two billion, three hundred sixty-three million, one hundred thirty-nine thousand, seven hundred twelve".