71112948544512 has 528 divisors, whose sum is σ = 245595822792320. Its totient is φ = 20131528015872.

The previous prime is 71112948544507. The next prime is 71112948544537. The reversal of 71112948544512 is 21544584921117.

71112948544512 is a `hidden beast` number, since 7 + 1 + 1 + 1 + 2 + 9 + 4 + 85 + 44 + 512 = 666.

It is a super-2 number, since 2×71112948544512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189671538 + ... + 190046094.

Almost surely, 2^{71112948544512} is an apocalyptic number.

71112948544512 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 71112948544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122797911396160).

71112948544512 is an abundant number, since it is smaller than the sum of its proper divisors (174482874247808).

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

71112948544512 is a wasteful number, since it uses less digits than its factorization.

71112948544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374708 (or 374678 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 71112948544512 in words is "seventy-one trillion, one hundred twelve billion, nine hundred forty-eight million, five hundred forty-four thousand, five hundred twelve".