82319048064 has 160 divisors (see below), whose sum is σ = 267251446440. Its totient is φ = 24945131520.

The previous prime is 82319048057. The next prime is 82319048137. The reversal of 82319048064 is 46084091328.

It is a happy number.

82319048064 is a `hidden beast` number, since 8 + 23 + 1 + 90 + 480 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 246849 + ... + 474944.

Almost surely, 2^82319048064 is an apocalyptic number.

It is an amenable number.

82319048064 is an abundant number, since it is smaller than the sum of its proper divisors (184932398376).

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

82319048064 is a wasteful number, since it uses less digits than its factorization.

82319048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721830 (or 721809 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 82319048064 in words is "eighty-two billion, three hundred nineteen million, forty-eight thousand, sixty-four".