71108530707312 has 1120 divisors, whose sum is σ = 254450040726528. Its totient is φ = 18803610169344.

The previous prime is 71108530707251. The next prime is 71108530707407. The reversal of 71108530707312 is 21370703580117.

71108530707312 is a `hidden beast` number, since 7 + 1 + 10 + 8 + 530 + 70 + 7 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7265605683 + ... + 7265615469.

Almost surely, 2^{71108530707312} is an apocalyptic number.

71108530707312 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 71108530707312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127225020363264).

71108530707312 is an abundant number, since it is smaller than the sum of its proper divisors (183341510019216).

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

71108530707312 is a wasteful number, since it uses less digits than its factorization.

71108530707312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 71108530707312 in words is "seventy-one trillion, one hundred eight billion, five hundred thirty million, seven hundred seven thousand, three hundred twelve".