71044941664368 has 240 divisors, whose sum is σ = 229427288213760. Its totient is φ = 20102484317184.

The previous prime is 71044941664351. The next prime is 71044941664391. The reversal of 71044941664368 is 86346614944017.

71044941664368 is a `hidden beast` number, since 7 + 10 + 4 + 494 + 16 + 64 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 346007271 + ... + 346212537.

It is an arithmetic number, because the mean of its divisors is an integer number (955947034224).

Almost surely, 2^{71044941664368} 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 71044941664368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114713644106880).

71044941664368 is an abundant number, since it is smaller than the sum of its proper divisors (158382346549392).

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

71044941664368 is a wasteful number, since it uses less digits than its factorization.

71044941664368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208604 (or 208595 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 71044941664368 in words is "seventy-one trillion, forty-four billion, nine hundred forty-one million, six hundred sixty-four thousand, three hundred sixty-eight".