180086445 has 48 divisors (see below), whose sum is σ = 389181312. Its totient is φ = 74839680.

The previous prime is 180086429. The next prime is 180086447. The reversal of 180086445 is 544680081.

180086445 = 45² + 46² + ... + 814².

180086445 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 8 + 644 + 5 = 666.

It is not a de Polignac number, because 180086445 - 2⁴ = 180086429 is a prime.

It is a super-2 number, since 2×180086445² = 64862255345476050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180086447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22522 + ... + 29451.

It is an arithmetic number, because the mean of its divisors is an integer number (8107944).

Almost surely, 2^180086445 is an apocalyptic number.

180086445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180086445 is an abundant number, since it is smaller than the sum of its proper divisors (209094867).

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

180086445 is a wasteful number, since it uses less digits than its factorization.

180086445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52002 (or 51999 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 180086445 is about 13419.6290932350. The cubic root of 180086445 is about 564.7119893737.

The spelling of 180086445 in words is "one hundred eighty million, eighty-six thousand, four hundred forty-five".