213921649552 has 40 divisors (see below), whose sum is σ = 446442563000. Its totient is φ = 98713866240.

The previous prime is 213921649541. The next prime is 213921649561. The reversal of 213921649552 is 255946129312.

213921649552 is digitally balanced in base 2, 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 4 ways, for example, as 24160350096 + 189761299456 = 155436^2 + 435616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213921649496 and 213921649505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001074 + ... + 1195822.

It is an arithmetic number, because the mean of its divisors is an integer number (11161064075).

Almost surely, 2^213921649552 is an apocalyptic number.

It is an amenable number.

213921649552 is an abundant number, since it is smaller than the sum of its proper divisors (232520913448).

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

213921649552 is a wasteful number, since it uses less digits than its factorization.

213921649552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200051 (or 200045 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The spelling of 213921649552 in words is "two hundred thirteen billion, nine hundred twenty-one million, six hundred forty-nine thousand, five hundred fifty-two".