71828188182816 has 48 divisors (see below), whose sum is σ = 203052762751104. Its totient is φ = 22100980978944.

The previous prime is 71828188182781. The next prime is 71828188182847. The reversal of 71828188182816 is 61828188182817.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 28777317736 + ... + 28777320231.

It is an arithmetic number, because the mean of its divisors is an integer number (4230265890648).

Almost surely, 2^{71828188182816} is an apocalyptic number.

It is an amenable number.

71828188182816 is an abundant number, since it is smaller than the sum of its proper divisors (131224574568288).

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

71828188182816 is a wasteful number, since it uses less digits than its factorization.

71828188182816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57554637993 (or 57554637985 counting only the distinct ones).

The product of its digits is 44040192, while the sum is 69.

Subtracting from 71828188182816 its reverse (61828188182817), we obtain a palindrome (9999999999999).

The spelling of 71828188182816 in words is "seventy-one trillion, eight hundred twenty-eight billion, one hundred eighty-eight million, one hundred eighty-two thousand, eight hundred sixteen".