82444755744428 has 48 divisors (see below), whose sum is σ = 179893503573504. Its totient is φ = 32118826890240.

The previous prime is 82444755744401. The next prime is 82444755744431.

82444755744428 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6487925 + ... + 14386892.

It is an arithmetic number, because the mean of its divisors is an integer number (3747781324448).

Almost surely, 2^{82444755744428} is an apocalyptic number.

It is an amenable number.

82444755744428 is an abundant number, since it is smaller than the sum of its proper divisors (97448747829076).

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

82444755744428 is a wasteful number, since it uses less digits than its factorization.

82444755744428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20887662 (or 20887660 counting only the distinct ones).

The product of its digits is 1284505600, while the sum is 68.

The spelling of 82444755744428 in words is "eighty-two trillion, four hundred forty-four billion, seven hundred fifty-five million, seven hundred forty-four thousand, four hundred twenty-eight".