71267947818912 has 864 divisors, whose sum is σ = 237798828933120. Its totient is φ = 20170792212480.

The previous prime is 71267947818887. The next prime is 71267947818913. The reversal of 71267947818912 is 21981874976217.

71267947818912 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 79 + 478 + 1 + 89 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (71267947818913) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5519933737 + ... + 5519946647.

It is an arithmetic number, because the mean of its divisors is an integer number (275230126080).

Almost surely, 2^{71267947818912} is an apocalyptic number.

71267947818912 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 71267947818912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118899414466560).

71267947818912 is an abundant number, since it is smaller than the sum of its proper divisors (166530881114208).

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

71267947818912 is a wasteful number, since it uses less digits than its factorization.

71267947818912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13146 (or 13122 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 72.

The spelling of 71267947818912 in words is "seventy-one trillion, two hundred sixty-seven billion, nine hundred forty-seven million, eight hundred eighteen thousand, nine hundred twelve".