82258904706048 has 1584 divisors, whose sum is σ = 296814940129344. Its totient is φ = 22290251120640.

The previous prime is 82258904706047. The next prime is 82258904706193. The reversal of 82258904706048 is 84060740985228.

82258904706048 is a `hidden beast` number, since 8 + 2 + 2 + 589 + 0 + 4 + 7 + 0 + 6 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82258904706047) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71343368640 + ... + 71343369792.

Almost surely, 2^{82258904706048} 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 82258904706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148407470064672).

82258904706048 is an abundant number, since it is smaller than the sum of its proper divisors (214556035423296).

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

82258904706048 is an equidigital number, since it uses as much as digits as its factorization.

82258904706048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 82258904706048 in words is "eighty-two trillion, two hundred fifty-eight billion, nine hundred four million, seven hundred six thousand, forty-eight".