82308118464 has 672 divisors, whose sum is σ = 290125221120. Its totient is φ = 22727485440.

The previous prime is 82308118463. The next prime is 82308118499. The reversal of 82308118464 is 46481180328.

82308118464 is a `hidden beast` number, since 82 + 30 + 81 + 1 + 8 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82308118463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290841267 + ... + 290841549.

It is an arithmetic number, because the mean of its divisors is an integer number (431733960).

Almost surely, 2^82308118464 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 82308118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145062610560).

82308118464 is an abundant number, since it is smaller than the sum of its proper divisors (207817102656).

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

82308118464 is a wasteful number, since it uses less digits than its factorization.

82308118464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 82308118464 in words is "eighty-two billion, three hundred eight million, one hundred eighteen thousand, four hundred sixty-four".