71137516744 has 128 divisors (see below), whose sum is σ = 160524000000. Its totient is φ = 29523432960.

The previous prime is 71137516721. The next prime is 71137516759. The reversal of 71137516744 is 44761573117.

It is a junction number, because it is equal to n+sod(n) for n = 71137516694 and 71137516703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15635782 + ... + 15640330.

It is an arithmetic number, because the mean of its divisors is an integer number (1254093750).

Almost surely, 2^71137516744 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 71137516744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80262000000).

71137516744 is an abundant number, since it is smaller than the sum of its proper divisors (89386483256).

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

71137516744 is a wasteful number, since it uses less digits than its factorization.

71137516744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4738 counting only the distinct ones).

The product of its digits is 493920, while the sum is 46.

The spelling of 71137516744 in words is "seventy-one billion, one hundred thirty-seven million, five hundred sixteen thousand, seven hundred forty-four".