71222849568 has 72 divisors (see below), whose sum is σ = 218119988268. Its totient is φ = 21914721792.

The previous prime is 71222849549. The next prime is 71222849569. The reversal of 71222849568 is 86594822217.

71222849568 is a `hidden beast` number, since 7 + 12 + 2 + 28 + 49 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70975353744 + 247495824 = 266412^2 + 15732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (71222849569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9507855 + ... + 9515342.

Almost surely, 2^71222849568 is an apocalyptic number.

71222849568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

71222849568 is an abundant number, since it is smaller than the sum of its proper divisors (146897138700).

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

71222849568 is a wasteful number, since it uses less digits than its factorization.

71222849568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19023226 (or 19023215 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 71222849568 in words is "seventy-one billion, two hundred twenty-two million, eight hundred forty-nine thousand, five hundred sixty-eight".