180454010068512 has 144 divisors (see below), whose sum is σ = 562088619532440. Its totient is φ = 54660849524736.

The previous prime is 180454010068481. The next prime is 180454010068589. The reversal of 180454010068512 is 215860010454081.

180454010068512 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 540 + 10 + 0 + 6 + 85 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120183071542416 + 60270938526096 = 10962804^2 + 7763436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635331063 + ... + 635615030.

Almost surely, 2^{180454010068512} is an apocalyptic number.

180454010068512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180454010068512 is an abundant number, since it is smaller than the sum of its proper divisors (381634609463928).

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

180454010068512 is a wasteful number, since it uses less digits than its factorization.

180454010068512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270946155 (or 1270946144 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 180454010068512 in words is "one hundred eighty trillion, four hundred fifty-four billion, ten million, sixty-eight thousand, five hundred twelve".