71429789319168 has 720 divisors, whose sum is σ = 228064735344600. Its totient is φ = 19827599081472.

The previous prime is 71429789319067. The next prime is 71429789319169. The reversal of 71429789319168 is 86191398792417.

It is a self number, because there is not a number n which added to its sum of digits gives 71429789319168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71429789319169) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105509289646 + ... + 105509290322.

Almost surely, 2^{71429789319168} 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 71429789319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114032367672300).

71429789319168 is an abundant number, since it is smaller than the sum of its proper divisors (156634946025432).

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

71429789319168 is an frugal number, since it uses more digits than its factorization.

71429789319168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 726 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 75.

The spelling of 71429789319168 in words is "seventy-one trillion, four hundred twenty-nine billion, seven hundred eighty-nine million, three hundred nineteen thousand, one hundred sixty-eight".