213408643392 has 168 divisors, whose sum is σ = 699590777600. Its totient is φ = 60929584128.

The previous prime is 213408643367. The next prime is 213408643417. The reversal of 213408643392 is 293346804312.

213408643392 is a `hidden beast` number, since 2 + 13 + 40 + 86 + 433 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (213408643367) and next prime (213408643417).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5743209 + ... + 5780247.

Almost surely, 2^213408643392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213408643392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349795388800).

213408643392 is an abundant number, since it is smaller than the sum of its proper divisors (486182134208).

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

213408643392 is a wasteful number, since it uses less digits than its factorization.

213408643392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38493 (or 38480 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 213408643392 in words is "two hundred thirteen billion, four hundred eight million, six hundred forty-three thousand, three hundred ninety-two".