82328267160048 has 480 divisors, whose sum is σ = 267935298168384. Its totient is φ = 21590888546304.

The previous prime is 82328267160043. The next prime is 82328267160101. The reversal of 82328267160048 is 84006176282328.

It is a self number, because there is not a number n which added to its sum of digits gives 82328267160048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82328267160043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18895629486 + ... + 18895633842.

Almost surely, 2^{82328267160048} 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 82328267160048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133967649084192).

82328267160048 is an abundant number, since it is smaller than the sum of its proper divisors (185607031008336).

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

82328267160048 is a wasteful number, since it uses less digits than its factorization.

82328267160048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7729 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 82328267160048 in words is "eighty-two trillion, three hundred twenty-eight billion, two hundred sixty-seven million, one hundred sixty thousand, forty-eight".