71662144488 has 192 divisors, whose sum is σ = 208996200000. Its totient is φ = 20390430720.

The previous prime is 71662144469. The next prime is 71662144493. The reversal of 71662144488 is 88444126617.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 71662144488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24633178 + ... + 24636086.

It is an arithmetic number, because the mean of its divisors is an integer number (1088521875).

Almost surely, 2^71662144488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71662144488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104498100000).

71662144488 is an abundant number, since it is smaller than the sum of its proper divisors (137334055512).

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

71662144488 is a wasteful number, since it uses less digits than its factorization.

71662144488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3441 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The spelling of 71662144488 in words is "seventy-one billion, six hundred sixty-two million, one hundred forty-four thousand, four hundred eighty-eight".