82446477464428 has 48 divisors (see below), whose sum is σ = 186086093356800. Its totient is φ = 31014348886080.

The previous prime is 82446477464413. The next prime is 82446477464453.

82446477464428 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4615221558 + ... + 4615239421.

It is an arithmetic number, because the mean of its divisors is an integer number (3876793611600).

Almost surely, 2^{82446477464428} is an apocalyptic number.

It is an amenable number.

82446477464428 is an abundant number, since it is smaller than the sum of its proper divisors (103639615892372).

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

82446477464428 is a wasteful number, since it uses less digits than its factorization.

82446477464428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230461030 (or 9230461028 counting only the distinct ones).

The product of its digits is 1849688064, while the sum is 70.

The spelling of 82446477464428 in words is "eighty-two trillion, four hundred forty-six billion, four hundred seventy-seven million, four hundred sixty-four thousand, four hundred twenty-eight".