180465159168 has 1188 divisors, whose sum is σ = 679623438312. Its totient is φ = 47656304640.

The previous prime is 180465159163. The next prime is 180465159221. The reversal of 180465159168 is 861951564081.

180465159168 is a `hidden beast` number, since 1 + 8 + 0 + 46 + 5 + 1 + 591 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (180465159163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4401589228 + ... + 4401589268.

Almost surely, 2^180465159168 is an apocalyptic number.

180465159168 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 180465159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339811719156).

180465159168 is an abundant number, since it is smaller than the sum of its proper divisors (499158279144).

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

180465159168 is an equidigital number, since it uses as much as digits as its factorization.

180465159168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 180465159168 in words is "one hundred eighty billion, four hundred sixty-five million, one hundred fifty-nine thousand, one hundred sixty-eight".