71809182402048 has 640 divisors, whose sum is σ = 261736937763840. Its totient is φ = 18929678745600.

The previous prime is 71809182402031. The next prime is 71809182402073. The reversal of 71809182402048 is 84020428190817.

71809182402048 is a `hidden beast` number, since 7 + 18 + 0 + 9 + 182 + 402 + 0 + 48 = 666.

It is a super-2 number, since 2×71809182402048² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71809182401985 and 71809182402003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2889576823 + ... + 2889601673.

It is an arithmetic number, because the mean of its divisors is an integer number (408963965256).

Almost surely, 2^{71809182402048} is an apocalyptic number.

71809182402048 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 71809182402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130868468881920).

71809182402048 is an abundant number, since it is smaller than the sum of its proper divisors (189927755361792).

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

71809182402048 is a wasteful number, since it uses less digits than its factorization.

71809182402048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27195 (or 27173 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 71809182402048 in words is "seventy-one trillion, eight hundred nine billion, one hundred eighty-two million, four hundred two thousand, forty-eight".