71094432449160 has 192 divisors, whose sum is σ = 234237978748800. Its totient is φ = 18697539474432.

The previous prime is 71094432449143. The next prime is 71094432449171. The reversal of 71094432449160 is 6194423449017.

It is a happy number.

71094432449160 is a `hidden beast` number, since 7 + 1 + 0 + 9 + 4 + 4 + 32 + 449 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71094432449097 and 71094432449106.

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, 424049109 + ... + 424216731.

It is an arithmetic number, because the mean of its divisors is an integer number (1219989472650).

Almost surely, 2^{71094432449160} 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 71094432449160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117118989374400).

71094432449160 is an abundant number, since it is smaller than the sum of its proper divisors (163143546299640).

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

71094432449160 is a wasteful number, since it uses less digits than its factorization.

71094432449160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183852 (or 183845 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 71094432449160 in words is "seventy-one trillion, ninety-four billion, four hundred thirty-two million, four hundred forty-nine thousand, one hundred sixty".