71333450496 has 864 divisors, whose sum is σ = 274809749760. Its totient is φ = 18037555200.

The previous prime is 71333450473. The next prime is 71333450521. The reversal of 71333450496 is 69405433317.

71333450496 is a `hidden beast` number, since 7 + 133 + 3 + 4 + 504 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×71333450496² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152748055 + ... + 152748521.

It is an arithmetic number, because the mean of its divisors is an integer number (318066840).

Almost surely, 2^71333450496 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 71333450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137404874880).

71333450496 is an abundant number, since it is smaller than the sum of its proper divisors (203476299264).

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

71333450496 is a wasteful number, since it uses less digits than its factorization.

71333450496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 71333450496 in words is "seventy-one billion, three hundred thirty-three million, four hundred fifty thousand, four hundred ninety-six".