71013811968 has 720 divisors, whose sum is σ = 243319329792. Its totient is φ = 20574259200.

The previous prime is 71013811963. The next prime is 71013812039. The reversal of 71013811968 is 86911831017.

It is a super-2 number, since 2×71013811968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71013811961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 855588055 + ... + 855588137.

Almost surely, 2^71013811968 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 71013811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121659664896).

71013811968 is an abundant number, since it is smaller than the sum of its proper divisors (172305517824).

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

71013811968 is an equidigital number, since it uses as much as digits as its factorization.

71013811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 71013811968 in words is "seventy-one billion, thirteen million, eight hundred eleven thousand, nine hundred sixty-eight".