71981883168 has 48 divisors (see below), whose sum is σ = 203487250176. Its totient is φ = 22148271360.

The previous prime is 71981883119. The next prime is 71981883217. The reversal of 71981883168 is 86138818917.

It is an interprime number because it is at equal distance from previous prime (71981883119) and next prime (71981883217).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28837648 + ... + 28840143.

It is an arithmetic number, because the mean of its divisors is an integer number (4239317712).

Almost surely, 2^71981883168 is an apocalyptic number.

71981883168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

71981883168 is an abundant number, since it is smaller than the sum of its proper divisors (131505367008).

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

71981883168 is a wasteful number, since it uses less digits than its factorization.

71981883168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57677817 (or 57677809 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 60.

The spelling of 71981883168 in words is "seventy-one billion, nine hundred eighty-one million, eight hundred eighty-three thousand, one hundred sixty-eight".