82148049984 has 1008 divisors, whose sum is σ = 306632457600. Its totient is φ = 19372953600.

The previous prime is 82148049983. The next prime is 82148049989. The reversal of 82148049984 is 48994084128.

It is not an unprimeable number, because it can be changed into a prime (82148049983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1346689314 + ... + 1346689374.

Almost surely, 2^82148049984 is an apocalyptic number.

82148049984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82148049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316228800).

82148049984 is an abundant number, since it is smaller than the sum of its proper divisors (224484407616).

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

82148049984 is a wasteful number, since it uses less digits than its factorization.

82148049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 82148049984 in words is "eighty-two billion, one hundred forty-eight million, forty-nine thousand, nine hundred eighty-four".