180144478976 has 144 divisors (see below), whose sum is σ = 449009568000. Its totient is φ = 70077296640.

The previous prime is 180144478967. The next prime is 180144478979. The reversal of 180144478976 is 679874441081.

It is not an unprimeable number, because it can be changed into a prime (180144478979) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13338275 + ... + 13351773.

It is an arithmetic number, because the mean of its divisors is an integer number (3118122000).

Almost surely, 2^180144478976 is an apocalyptic number.

180144478976 is a gapful number since it is divisible by the number (16) 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 180144478976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224504784000).

180144478976 is an abundant number, since it is smaller than the sum of its proper divisors (268865089024).

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

180144478976 is a wasteful number, since it uses less digits than its factorization.

180144478976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14210 (or 14196 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 180144478976 in words is "one hundred eighty billion, one hundred forty-four million, four hundred seventy-eight thousand, nine hundred seventy-six".