71705170944 has 1056 divisors, whose sum is σ = 262659511296. Its totient is φ = 19269550080.

The previous prime is 71705170931. The next prime is 71705170963. The reversal of 71705170944 is 44907150717.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×71705170944² (a number of 23 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 71705170944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070226399 + ... + 1070226465.

Almost surely, 2^71705170944 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 71705170944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131329755648).

71705170944 is an abundant number, since it is smaller than the sum of its proper divisors (190954340352).

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

71705170944 is a wasteful number, since it uses less digits than its factorization.

71705170944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 71705170944 in words is "seventy-one billion, seven hundred five million, one hundred seventy thousand, nine hundred forty-four".