213588671164704 has 576 divisors, whose sum is σ = 677741395968000. Its totient is φ = 63264493393920.

The previous prime is 213588671164679. The next prime is 213588671164747. The reversal of 213588671164704 is 407461176885312.

213588671164704 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 8 + 86 + 71 + 16 + 470 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15224789562 + ... + 15224803590.

It is an arithmetic number, because the mean of its divisors is an integer number (1176634368000).

Almost surely, 2^{213588671164704} is an apocalyptic number.

213588671164704 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 213588671164704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338870697984000).

213588671164704 is an abundant number, since it is smaller than the sum of its proper divisors (464152724803296).

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

213588671164704 is a wasteful number, since it uses less digits than its factorization.

213588671164704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14741 (or 14730 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 213588671164704 in words is "two hundred thirteen trillion, five hundred eighty-eight billion, six hundred seventy-one million, one hundred sixty-four thousand, seven hundred four".