82508461384032 has 72 divisors (see below), whose sum is σ = 238135428714456. Its totient is φ = 27092330597376.

The previous prime is 82508461383991. The next prime is 82508461384049. The reversal of 82508461384032 is 23048316480528.

82508461384032 is a `hidden beast` number, since 8 + 2 + 508 + 4 + 61 + 3 + 8 + 40 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 82508461384032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2137948713 + ... + 2137987304.

It is an arithmetic number, because the mean of its divisors is an integer number (3307436509923).

Almost surely, 2^{82508461384032} is an apocalyptic number.

It is an amenable number.

82508461384032 is an abundant number, since it is smaller than the sum of its proper divisors (155626967330424).

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

82508461384032 is a wasteful number, since it uses less digits than its factorization.

82508461384032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275936100 (or 4275936089 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 82508461384032 in words is "eighty-two trillion, five hundred eight billion, four hundred sixty-one million, three hundred eighty-four thousand, thirty-two".