71168449144 has 128 divisors (see below), whose sum is σ = 151613683200. Its totient is φ = 31094046720.

The previous prime is 71168449123. The next prime is 71168449189. The reversal of 71168449144 is 44194486117.

It is a super-2 number, since 2×71168449144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27831514 + ... + 27834070.

It is an arithmetic number, because the mean of its divisors is an integer number (1184481900).

Almost surely, 2^71168449144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71168449144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75806841600).

71168449144 is an abundant number, since it is smaller than the sum of its proper divisors (80445234056).

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

71168449144 is a wasteful number, since it uses less digits than its factorization.

71168449144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2789 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The spelling of 71168449144 in words is "seventy-one billion, one hundred sixty-eight million, four hundred forty-nine thousand, one hundred forty-four".