213644090304 has 84 divisors (see below), whose sum is σ = 615118643776. Its totient is φ = 70895305728.

The previous prime is 213644090273. The next prime is 213644090329. The reversal of 213644090304 is 403090446312.

It is a happy number.

213644090304 is a `hidden beast` number, since 2 + 1 + 3 + 644 + 0 + 9 + 0 + 3 + 0 + 4 = 666.

213644090304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 703189 + ... + 960084.

Almost surely, 2^213644090304 is an apocalyptic number.

213644090304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213644090304 is an abundant number, since it is smaller than the sum of its proper divisors (401474553472).

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

213644090304 is a wasteful number, since it uses less digits than its factorization.

213644090304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663514 (or 1663501 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 213644090304 in words is "two hundred thirteen billion, six hundred forty-four million, ninety thousand, three hundred four".