71010284666112 has 864 divisors, whose sum is σ = 233459147376000. Its totient is φ = 20561243996160.

The previous prime is 71010284666017. The next prime is 71010284666117. The reversal of 71010284666112 is 21166648201017.

It is a super-2 number, since 2×71010284666112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71010284666117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30127400038 + ... + 30127402394.

It is an arithmetic number, because the mean of its divisors is an integer number (270207346500).

Almost surely, 2^{71010284666112} is an apocalyptic number.

71010284666112 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 71010284666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116729573688000).

71010284666112 is an abundant number, since it is smaller than the sum of its proper divisors (162448862709888).

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

71010284666112 is a wasteful number, since it uses less digits than its factorization.

71010284666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 71010284666112 in words is "seventy-one trillion, ten billion, two hundred eighty-four million, six hundred sixty-six thousand, one hundred twelve".