71144843616 has 576 divisors, whose sum is σ = 264881352960. Its totient is φ = 18370437120.

The previous prime is 71144843593. The next prime is 71144843629. The reversal of 71144843616 is 61634844117.

71144843616 is a `hidden beast` number, since 71 + 144 + 8 + 436 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105712656 + ... + 105713328.

It is an arithmetic number, because the mean of its divisors is an integer number (459863460).

Almost surely, 2^71144843616 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 71144843616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132440676480).

71144843616 is an abundant number, since it is smaller than the sum of its proper divisors (193736509344).

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

71144843616 is a wasteful number, since it uses less digits than its factorization.

71144843616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 923 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 71144843616 in words is "seventy-one billion, one hundred forty-four million, eight hundred forty-three thousand, six hundred sixteen".