213966182304 has 576 divisors, whose sum is σ = 769475266560. Its totient is φ = 55024220160.

The previous prime is 213966182281. The next prime is 213966182359. The reversal of 213966182304 is 403281669312.

213966182304 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 6 + 618 + 23 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213966182304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60939909 + ... + 60943419.

It is an arithmetic number, because the mean of its divisors is an integer number (1335894560).

Almost surely, 2^213966182304 is an apocalyptic number.

213966182304 is a gapful number since it is divisible by the number (24) 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 213966182304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384737633280).

213966182304 is an abundant number, since it is smaller than the sum of its proper divisors (555509084256).

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

213966182304 is a wasteful number, since it uses less digits than its factorization.

213966182304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 213966182304 in words is "two hundred thirteen billion, nine hundred sixty-six million, one hundred eighty-two thousand, three hundred four".