71048715444 has 288 divisors, whose sum is σ = 224864640000. Its totient is φ = 18462463488.

The previous prime is 71048715433. The next prime is 71048715449. The reversal of 71048715444 is 44451784017.

71048715444 is a `hidden beast` number, since 7 + 10 + 487 + 154 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71048715444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71048715449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12144232 + ... + 12150080.

It is an arithmetic number, because the mean of its divisors is an integer number (780780000).

Almost surely, 2^71048715444 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 71048715444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320000).

71048715444 is an abundant number, since it is smaller than the sum of its proper divisors (153815924556).

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

71048715444 is a wasteful number, since it uses less digits than its factorization.

71048715444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 71048715444 in words is "seventy-one billion, forty-eight million, seven hundred fifteen thousand, four hundred forty-four".