180896442496 has 128 divisors (see below), whose sum is σ = 449558064000. Its totient is φ = 70439362560.

The previous prime is 180896442487. The next prime is 180896442497. The reversal of 180896442496 is 694244698081.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (180896442497) 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 15 ways as a sum of consecutive naturals, for example, 22359220 + ... + 22367308.

It is an arithmetic number, because the mean of its divisors is an integer number (3512172375).

Almost surely, 2^180896442496 is an apocalyptic number.

180896442496 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 180896442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224779032000).

180896442496 is an abundant number, since it is smaller than the sum of its proper divisors (268661621504).

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

180896442496 is a wasteful number, since it uses less digits than its factorization.

180896442496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 180896442496 in words is "one hundred eighty billion, eight hundred ninety-six million, four hundred forty-two thousand, four hundred ninety-six".