213739824368 has 200 divisors, whose sum is σ = 500354954400. Its totient is φ = 88384020480.

The previous prime is 213739824329. The next prime is 213739824371. The reversal of 213739824368 is 863428937312.

213739824368 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 (56).

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 39 ways as a sum of consecutive naturals, for example, 152779733 + ... + 152781131.

It is an arithmetic number, because the mean of its divisors is an integer number (2501774772).

Almost surely, 2^213739824368 is an apocalyptic number.

213739824368 is a gapful number since it is divisible by the number (28) 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 213739824368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250177477200).

213739824368 is an abundant number, since it is smaller than the sum of its proper divisors (286615130032).

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

213739824368 is an equidigital number, since it uses as much as digits as its factorization.

213739824368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1546 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 56.

The spelling of 213739824368 in words is "two hundred thirteen billion, seven hundred thirty-nine million, eight hundred twenty-four thousand, three hundred sixty-eight".