180648512352 has 432 divisors, whose sum is σ = 647967509280. Its totient is φ = 46730280960.

The previous prime is 180648512347. The next prime is 180648512371. The reversal of 180648512352 is 253215846081.

180648512352 is a `hidden beast` number, since 1 + 80 + 6 + 4 + 8 + 512 + 3 + 52 = 666.

180648512352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 180648512298 and 180648512307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65617408 + ... + 65620160.

It is an arithmetic number, because the mean of its divisors is an integer number (1499924790).

Almost surely, 2^180648512352 is an apocalyptic number.

180648512352 is a gapful number since it is divisible by the number (12) 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 180648512352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323983754640).

180648512352 is an abundant number, since it is smaller than the sum of its proper divisors (467318996928).

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

180648512352 is a wasteful number, since it uses less digits than its factorization.

180648512352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 180648512352 in words is "one hundred eighty billion, six hundred forty-eight million, five hundred twelve thousand, three hundred fifty-two".