71065306464152 has 256 divisors, whose sum is σ = 189241527121920. Its totient is φ = 24111845683200.

The previous prime is 71065306464151. The next prime is 71065306464179. The reversal of 71065306464152 is 25146460356017.

It is a super-2 number, since 2×71065306464152² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71065306464152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71065306464151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10802702 + ... + 16088162.

It is an arithmetic number, because the mean of its divisors is an integer number (739224715320).

Almost surely, 2^{71065306464152} 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 71065306464152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94620763560960).

71065306464152 is an abundant number, since it is smaller than the sum of its proper divisors (118176220657768).

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

71065306464152 is a wasteful number, since it uses less digits than its factorization.

71065306464152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5285594 (or 5285590 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 71065306464152 in words is "seventy-one trillion, sixty-five billion, three hundred six million, four hundred sixty-four thousand, one hundred fifty-two".