82257485346 has 48 divisors (see below), whose sum is σ = 187822851840. Its totient is φ = 25945855200.

The previous prime is 82257485341. The next prime is 82257485347. The reversal of 82257485346 is 64358475228.

82257485346 is a `hidden beast` number, since 8 + 2 + 257 + 48 + 5 + 346 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82257485292 and 82257485301.

It is not an unprimeable number, because it can be changed into a prime (82257485341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 155796 + ... + 434496.

It is an arithmetic number, because the mean of its divisors is an integer number (3912976080).

Almost surely, 2^82257485346 is an apocalyptic number.

82257485346 is an abundant number, since it is smaller than the sum of its proper divisors (105565366494).

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

82257485346 is a wasteful number, since it uses less digits than its factorization.

82257485346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279591 (or 279588 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 82257485346 in words is "eighty-two billion, two hundred fifty-seven million, four hundred eighty-five thousand, three hundred forty-six".