216347777424 has 135 divisors (see below), whose sum is σ = 614171178283. Its totient is φ = 71094495936.

The previous prime is 216347777417. The next prime is 216347777491. The reversal of 216347777424 is 424777743612.

The square root of 216347777424 is 465132.

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

216347777424 is a `hidden beast` number, since 2 + 1 + 63 + 477 + 77 + 42 + 4 = 666.

216347777424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 463271239 + ... + 463271705.

Almost surely, 2^216347777424 is an apocalyptic number.

216347777424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

216347777424 is the 465132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216347777424

216347777424 is an abundant number, since it is smaller than the sum of its proper divisors (397823400859).

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

216347777424 is an frugal number, since it uses more digits than its factorization.

216347777424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 555 counting only the distinct ones).

The product of its digits is 11063808, while the sum is 54.

The spelling of 216347777424 in words is "two hundred sixteen billion, three hundred forty-seven million, seven hundred seventy-seven thousand, four hundred twenty-four".