180711369849168 has 240 divisors, whose sum is σ = 510071808203776. Its totient is φ = 59723671265280.

The previous prime is 180711369849163. The next prime is 180711369849173. The reversal of 180711369849168 is 861948963117081.

180711369849168 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 1 + 13 + 69 + 8 + 491 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (180711369849163) and next prime (180711369849173).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 180711369849096 and 180711369849105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180711369849161) by changing a digit.

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, 34219154688 + ... + 34219159968.

Almost surely, 2^{180711369849168} is an apocalyptic number.

180711369849168 is a gapful number since it is divisible by the number (18) 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 180711369849168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255035904101888).

180711369849168 is an abundant number, since it is smaller than the sum of its proper divisors (329360438354608).

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

180711369849168 is a wasteful number, since it uses less digits than its factorization.

180711369849168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 180711369849168 in words is "one hundred eighty trillion, seven hundred eleven billion, three hundred sixty-nine million, eight hundred forty-nine thousand, one hundred sixty-eight".