71335712448 has 1120 divisors, whose sum is σ = 289971601920. Its totient is φ = 16741416960.

The previous prime is 71335712387. The next prime is 71335712453. The reversal of 71335712448 is 84421753317.

71335712448 is a `hidden beast` number, since 7 + 1 + 33 + 571 + 2 + 4 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 306161740 + ... + 306161972.

It is an arithmetic number, because the mean of its divisors is an integer number (258903216).

Almost surely, 2^71335712448 is an apocalyptic number.

71335712448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71335712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144985800960).

71335712448 is an abundant number, since it is smaller than the sum of its proper divisors (218635889472).

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

71335712448 is a wasteful number, since it uses less digits than its factorization.

71335712448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 71335712448 in words is "seventy-one billion, three hundred thirty-five million, seven hundred twelve thousand, four hundred forty-eight".