180315468046656 has 336 divisors, whose sum is σ = 533672063870400. Its totient is φ = 58165927649280.

The previous prime is 180315468046643. The next prime is 180315468046667. The reversal of 180315468046656 is 656640864513081.

It is a happy number.

180315468046656 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 1 + 5 + 46 + 80 + 466 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 180315468046593 and 180315468046602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5074859611 + ... + 5074895141.

It is an arithmetic number, because the mean of its divisors is an integer number (1588309713900).

Almost surely, 2^{180315468046656} is an apocalyptic number.

180315468046656 is a gapful number since it is divisible by the number (16) 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 180315468046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266836031935200).

180315468046656 is an abundant number, since it is smaller than the sum of its proper divisors (353356595823744).

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

180315468046656 is a wasteful number, since it uses less digits than its factorization.

180315468046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36862 (or 36849 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 180315468046656 in words is "one hundred eighty trillion, three hundred fifteen billion, four hundred sixty-eight million, forty-six thousand, six hundred fifty-six".