213658421824 has 63 divisors (see below), whose sum is σ = 447614733801. Its totient is φ = 101173340160.

The previous prime is 213658421807. The next prime is 213658421831. The reversal of 213658421824 is 428124856312.

The square root of 213658421824 is 462232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 209185487424 + 4472934400 = 457368^2 + 66880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70257744 + ... + 70260784.

Almost surely, 2^213658421824 is an apocalyptic number.

213658421824 is the 462232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213658421824

213658421824 is an abundant number, since it is smaller than the sum of its proper divisors (233956311977).

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

213658421824 is an frugal number, since it uses more digits than its factorization.

213658421824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 3062 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The spelling of 213658421824 in words is "two hundred thirteen billion, six hundred fifty-eight million, four hundred twenty-one thousand, eight hundred twenty-four".