213468937336800 has 1728 divisors, whose sum is σ = 831869744428800. Its totient is φ = 52763622912000.

The previous prime is 213468937336783. The next prime is 213468937336871. The reversal of 213468937336800 is 8633739864312.

213468937336800 is a `hidden beast` number, since 2 + 1 + 3 + 468 + 93 + 7 + 3 + 3 + 6 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78858121047 + ... + 78858123753.

It is an arithmetic number, because the mean of its divisors is an integer number (481406102100).

Almost surely, 2^{213468937336800} is an apocalyptic number.

213468937336800 is a gapful number since it is divisible by the number (20) 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 213468937336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415934872214400).

213468937336800 is an abundant number, since it is smaller than the sum of its proper divisors (618400807092000).

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

213468937336800 is a wasteful number, since it uses less digits than its factorization.

213468937336800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 213468937336800 in words is "two hundred thirteen trillion, four hundred sixty-eight billion, nine hundred thirty-seven million, three hundred thirty-six thousand, eight hundred".