71661833561448 has 192 divisors, whose sum is σ = 218247413005440. Its totient is φ = 21076972088832.

The previous prime is 71661833561401. The next prime is 71661833561449. The reversal of 71661833561448 is 84416533816617.

71661833561448 is a `hidden beast` number, since 7 + 1 + 6 + 6 + 1 + 8 + 3 + 3 + 5 + 614 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (71661833561449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31026511 + ... + 33256097.

It is an arithmetic number, because the mean of its divisors is an integer number (1136705276070).

Almost surely, 2^{71661833561448} is an apocalyptic number.

71661833561448 is a gapful number since it is divisible by the number (78) 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 71661833561448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109123706502720).

71661833561448 is an abundant number, since it is smaller than the sum of its proper divisors (146585579443992).

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

71661833561448 is a wasteful number, since it uses less digits than its factorization.

71661833561448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231128 (or 2231121 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 71661833561448 in words is "seventy-one trillion, six hundred sixty-one billion, eight hundred thirty-three million, five hundred sixty-one thousand, four hundred forty-eight".