213199488432 has 360 divisors, whose sum is σ = 714903462000. Its totient is φ = 59096024064.

The previous prime is 213199488431. The next prime is 213199488449. The reversal of 213199488432 is 234884991312.

213199488432 is a `hidden beast` number, since 2 + 1 + 31 + 99 + 488 + 43 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213199488431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109388194 + ... + 109390142.

It is an arithmetic number, because the mean of its divisors is an integer number (1985842950).

Almost surely, 2^213199488432 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 213199488432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357451731000).

213199488432 is an abundant number, since it is smaller than the sum of its proper divisors (501703973568).

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

213199488432 is a wasteful number, since it uses less digits than its factorization.

213199488432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2417 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 213199488432 in words is "two hundred thirteen billion, one hundred ninety-nine million, four hundred eighty-eight thousand, four hundred thirty-two".