213731736576 has 88 divisors (see below), whose sum is σ = 569826730704. Its totient is φ = 71224688640.

The previous prime is 213731736553. The next prime is 213731736583. The reversal of 213731736576 is 675637137312.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15601986 + ... + 15615678.

It is an arithmetic number, because the mean of its divisors is an integer number (6475303758).

Almost surely, 2^213731736576 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 213731736576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284913365352).

213731736576 is an abundant number, since it is smaller than the sum of its proper divisors (356094994128).

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

213731736576 is a wasteful number, since it uses less digits than its factorization.

213731736576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18797 (or 18779 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 51.

The spelling of 213731736576 in words is "two hundred thirteen billion, seven hundred thirty-one million, seven hundred thirty-six thousand, five hundred seventy-six".