180249942081 has 16 divisors (see below), whose sum is σ = 266094897408. Its totient is φ = 107611904400.

The previous prime is 180249942053. The next prime is 180249942101.

180249942081 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 180249942081 - 2⁵ = 180249942049 is a prime.

It is a super-2 number, since 2×180249942081² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180249942081.

It is not an unprimeable number, because it can be changed into a prime (180249942181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40759875 + ... + 40764296.

It is an arithmetic number, because the mean of its divisors is an integer number (16630931088).

Almost surely, 2^180249942081 is an apocalyptic number.

180249942081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

180249942081 is a deficient number, since it is larger than the sum of its proper divisors (85844955327).

180249942081 is a wasteful number, since it uses less digits than its factorization.

180249942081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81524252.

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 180249942081 in words is "one hundred eighty billion, two hundred forty-nine million, nine hundred forty-two thousand, eighty-one".