71515446912 has 640 divisors, whose sum is σ = 263881833600. Its totient is φ = 18722119680.

The previous prime is 71515446889. The next prime is 71515446923. The reversal of 71515446912 is 21964451517.

71515446912 is a `hidden beast` number, since 7 + 1 + 515 + 4 + 46 + 91 + 2 = 666.

It is a super-2 number, since 2×71515446912² (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 79 ways as a sum of consecutive naturals, for example, 216058587 + ... + 216058917.

It is an arithmetic number, because the mean of its divisors is an integer number (412315365).

Almost surely, 2^71515446912 is an apocalyptic number.

71515446912 is a gapful number since it is divisible by the number (72) 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 71515446912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131940916800).

71515446912 is an abundant number, since it is smaller than the sum of its proper divisors (192366386688).

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

71515446912 is a wasteful number, since it uses less digits than its factorization.

71515446912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 585 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 71515446912 in words is "seventy-one billion, five hundred fifteen million, four hundred forty-six thousand, nine hundred twelve".