213118875904 has 243 divisors, whose sum is σ = 486697926897. Its totient is φ = 93068236800.

The previous prime is 213118875889. The next prime is 213118875911. The reversal of 213118875904 is 409578811312.

The square root of 213118875904 is 461648.

It is a perfect power (a square), and thus also a powerful number.

213118875904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6930229504 + 206188646400 = 83248^2 + 454080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3493752034 + ... + 3493752094.

Almost surely, 2^213118875904 is an apocalyptic number.

213118875904 is the 461648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213118875904

213118875904 is an abundant number, since it is smaller than the sum of its proper divisors (273579050993).

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

213118875904 is an frugal number, since it uses more digits than its factorization.

213118875904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 213118875904 by its sum of digits (49), we get a square (10442824919296 = 3231536²).

The spelling of 213118875904 in words is "two hundred thirteen billion, one hundred eighteen million, eight hundred seventy-five thousand, nine hundred four".