213391617824 has 288 divisors, whose sum is σ = 543480440832. Its totient is φ = 81539136000.

The previous prime is 213391617743. The next prime is 213391617863. The reversal of 213391617824 is 428716193312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331868447 + ... + 331869089.

It is an arithmetic number, because the mean of its divisors is an integer number (1887084864).

Almost surely, 2^213391617824 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 213391617824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271740220416).

213391617824 is an abundant number, since it is smaller than the sum of its proper divisors (330088823008).

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

213391617824 is a wasteful number, since it uses less digits than its factorization.

213391617824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1005 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The spelling of 213391617824 in words is "two hundred thirteen billion, three hundred ninety-one million, six hundred seventeen thousand, eight hundred twenty-four".