180023405248512 has 816 divisors, whose sum is σ = 608758525502400. Its totient is φ = 51242833281024.

The previous prime is 180023405248457. The next prime is 180023405248517. The reversal of 180023405248512 is 215842504320081.

180023405248512 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 2 + 3 + 40 + 52 + 48 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180023405248517) 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, 59276720658 + ... + 59276723694.

Almost surely, 2^{180023405248512} is an apocalyptic number.

180023405248512 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 180023405248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304379262751200).

180023405248512 is an abundant number, since it is smaller than the sum of its proper divisors (428735120253888).

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

180023405248512 is an frugal number, since it uses more digits than its factorization.

180023405248512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

Adding to 180023405248512 its reverse (215842504320081), we get a palindrome (395865909568593).

The spelling of 180023405248512 in words is "one hundred eighty trillion, twenty-three billion, four hundred five million, two hundred forty-eight thousand, five hundred twelve".