71349320448 has 720 divisors, whose sum is σ = 262598730240. Its totient is φ = 18811699200.

The previous prime is 71349320443. The next prime is 71349320459. The reversal of 71349320448 is 84402394317.

71349320448 is a `hidden beast` number, since 71 + 34 + 93 + 20 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (71349320443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113073093 + ... + 113073723.

Almost surely, 2^71349320448 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 71349320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131299365120).

71349320448 is an abundant number, since it is smaller than the sum of its proper divisors (191249409792).

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

71349320448 is a wasteful number, since it uses less digits than its factorization.

71349320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 71349320448 in words is "seventy-one billion, three hundred forty-nine million, three hundred twenty thousand, four hundred forty-eight".