82633466433628 has 48 divisors (see below), whose sum is σ = 158018216606208. Its totient is φ = 37497958344000.

The previous prime is 82633466433619. The next prime is 82633466433671.

82633466433628 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 82633466433628.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 343903626 + ... + 344143822.

It is an arithmetic number, because the mean of its divisors is an integer number (3292046179296).

Almost surely, 2^{82633466433628} is an apocalyptic number.

It is an amenable number.

82633466433628 is a deficient number, since it is larger than the sum of its proper divisors (75384750172580).

82633466433628 is a wasteful number, since it uses less digits than its factorization.

82633466433628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253234 (or 253232 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 64.

The spelling of 82633466433628 in words is "eighty-two trillion, six hundred thirty-three billion, four hundred sixty-six million, four hundred thirty-three thousand, six hundred twenty-eight".