71384745072744 has 192 divisors, whose sum is σ = 204439128391680. Its totient is φ = 22471489152000.

The previous prime is 71384745072701. The next prime is 71384745072779. The reversal of 71384745072744 is 44727054748317.

71384745072744 is a `hidden beast` number, since 7 + 1 + 3 + 8 + 47 + 450 + 72 + 74 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15227124 + ... + 19355484.

It is an arithmetic number, because the mean of its divisors is an integer number (1064787127040).

Almost surely, 2^{71384745072744} 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 71384745072744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102219564195840).

71384745072744 is an abundant number, since it is smaller than the sum of its proper divisors (133054383318936).

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

71384745072744 is a wasteful number, since it uses less digits than its factorization.

71384745072744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128592 (or 4128585 counting only the distinct ones).

The product of its (nonzero) digits is 147517440, while the sum is 63.

The spelling of 71384745072744 in words is "seventy-one trillion, three hundred eighty-four billion, seven hundred forty-five million, seventy-two thousand, seven hundred forty-four".