180312315648192 has 1792 divisors, whose sum is σ = 685571274178560. Its totient is φ = 45198242611200.

The previous prime is 180312315648071. The next prime is 180312315648239. The reversal of 180312315648192 is 291846513213081.

180312315648192 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 1 + 2 + 3 + 156 + 481 + 9 + 2 = 666.

It is a super-2 number, since 2×180312315648192² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 106253573488 + ... + 106253575184.

It is an arithmetic number, because the mean of its divisors is an integer number (382573255680).

Almost surely, 2^{180312315648192} is an apocalyptic number.

180312315648192 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 180312315648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342785637089280).

180312315648192 is an abundant number, since it is smaller than the sum of its proper divisors (505258958530368).

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

180312315648192 is a wasteful number, since it uses less digits than its factorization.

180312315648192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 180312315648192 in words is "one hundred eighty trillion, three hundred twelve billion, three hundred fifteen million, six hundred forty-eight thousand, one hundred ninety-two".