180869611104 has 576 divisors, whose sum is σ = 687915970560. Its totient is φ = 43729735680.

The previous prime is 180869611037. The next prime is 180869611127. The reversal of 180869611104 is 401116968081.

It is a happy number.

180869611104 is a `hidden beast` number, since 18 + 0 + 8 + 6 + 9 + 611 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 180869611104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15430654 + ... + 15442370.

It is an arithmetic number, because the mean of its divisors is an integer number (1194298560).

Almost surely, 2^180869611104 is an apocalyptic number.

180869611104 is a gapful number since it is divisible by the number (14) 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 180869611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343957985280).

180869611104 is an abundant number, since it is smaller than the sum of its proper divisors (507046359456).

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

180869611104 is a wasteful number, since it uses less digits than its factorization.

180869611104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11803 (or 11792 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 180869611104 in words is "one hundred eighty billion, eight hundred sixty-nine million, six hundred eleven thousand, one hundred four".