71014368746880 has 1024 divisors, whose sum is σ = 287448860160000. Its totient is φ = 16414333599744.

The previous prime is 71014368746819. The next prime is 71014368746917. The reversal of 71014368746880 is 8864786341017.

71014368746880 is a `hidden beast` number, since 7 + 1 + 0 + 1 + 436 + 87 + 46 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1676467141 + ... + 1676509499.

It is an arithmetic number, because the mean of its divisors is an integer number (280711777500).

Almost surely, 2^{71014368746880} 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 71014368746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143724430080000).

71014368746880 is an abundant number, since it is smaller than the sum of its proper divisors (216434491413120).

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

71014368746880 is a wasteful number, since it uses less digits than its factorization.

71014368746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42856 (or 42838 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 71014368746880 in words is "seventy-one trillion, fourteen billion, three hundred sixty-eight million, seven hundred forty-six thousand, eight hundred eighty".