216305826328512 has 280 divisors, whose sum is σ = 644798559026160. Its totient is φ = 71698023936000.

The previous prime is 216305826328469. The next prime is 216305826328597. The reversal of 216305826328512 is 215823628503612.

216305826328512 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 0 + 582 + 6 + 3 + 2 + 8 + 51 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 802695814 + ... + 802965242.

It is an arithmetic number, because the mean of its divisors is an integer number (2302851996522).

Almost surely, 2^{216305826328512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216305826328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322399279513080).

216305826328512 is an abundant number, since it is smaller than the sum of its proper divisors (428492732697648).

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

216305826328512 is a wasteful number, since it uses less digits than its factorization.

216305826328512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270321 (or 270302 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 216305826328512 in words is "two hundred sixteen trillion, three hundred five billion, eight hundred twenty-six million, three hundred twenty-eight thousand, five hundred twelve".