213824084544 has 672 divisors, whose sum is σ = 759312493056. Its totient is φ = 56202854400.

The previous prime is 213824084501. The next prime is 213824084563. The reversal of 213824084544 is 445480428312.

213824084544 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 24 + 0 + 84 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×213824084544³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213824084544.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346554124 + ... + 346554740.

Almost surely, 2^213824084544 is an apocalyptic number.

213824084544 is a gapful number since it is divisible by the number (24) 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 213824084544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379656246528).

213824084544 is an abundant number, since it is smaller than the sum of its proper divisors (545488408512).

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

213824084544 is a wasteful number, since it uses less digits than its factorization.

213824084544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 213824084544 in words is "two hundred thirteen billion, eight hundred twenty-four million, eighty-four thousand, five hundred forty-four".