71828482817 has 16 divisors (see below), whose sum is σ = 88412338560. Its totient is φ = 56826150912.

The previous prime is 71828482801. The next prime is 71828482837.

71828482817 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71828482817 - 2⁴ = 71828482801 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (71828482837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201409 + ... + 1259777.

It is an arithmetic number, because the mean of its divisors is an integer number (5525771160).

Almost surely, 2^71828482817 is an apocalyptic number.

It is an amenable number.

71828482817 is a deficient number, since it is larger than the sum of its proper divisors (16583855743).

71828482817 is a wasteful number, since it uses less digits than its factorization.

71828482817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71912.

The product of its digits is 3211264, while the sum is 56.

The spelling of 71828482817 in words is "seventy-one billion, eight hundred twenty-eight million, four hundred eighty-two thousand, eight hundred seventeen".