71144527104 has 216 divisors, whose sum is σ = 238857196032. Its totient is φ = 19943239680.

The previous prime is 71144527079. The next prime is 71144527123. The reversal of 71144527104 is 40172544117.

71144527104 is a `hidden beast` number, since 7 + 114 + 4 + 527 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813169 + ... + 896399.

It is an arithmetic number, because the mean of its divisors is an integer number (1105820352).

Almost surely, 2^71144527104 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 71144527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119428598016).

71144527104 is an abundant number, since it is smaller than the sum of its proper divisors (167712668928).

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

71144527104 is a wasteful number, since it uses less digits than its factorization.

71144527104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83313 (or 83296 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 71144527104 in words is "seventy-one billion, one hundred forty-four million, five hundred twenty-seven thousand, one hundred four".