71349186816 has 216 divisors, whose sum is σ = 210175219800. Its totient is φ = 23270227968.

The previous prime is 71349186793. The next prime is 71349186817. The reversal of 71349186816 is 61868194317.

71349186816 is a `hidden beast` number, since 71 + 3 + 491 + 8 + 6 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16548249600 + 54800937216 = 128640^2 + 234096^2 .

It is not an unprimeable number, because it can be changed into a prime (71349186817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68015860 + ... + 68016908.

It is an arithmetic number, because the mean of its divisors is an integer number (973033425).

Almost surely, 2^71349186816 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 71349186816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105087609900).

71349186816 is an abundant number, since it is smaller than the sum of its proper divisors (138826032984).

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

71349186816 is a wasteful number, since it uses less digits than its factorization.

71349186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1664 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 71349186816 in words is "seventy-one billion, three hundred forty-nine million, one hundred eighty-six thousand, eight hundred sixteen".