216883941264 has 75 divisors (see below), whose sum is σ = 610070612983. Its totient is φ = 71927669184.

The previous prime is 216883941259. The next prime is 216883941289. The reversal of 216883941264 is 462149388612.

The square root of 216883941264 is 465708.

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

216883941264 is a `hidden beast` number, since 2 + 168 + 8 + 3 + 9 + 412 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199712459664 + 17171481600 = 446892^2 + 131040^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 216883941264.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1100933614 + ... + 1100933810.

Almost surely, 2^216883941264 is an apocalyptic number.

216883941264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

216883941264 is the 465708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216883941264

216883941264 is an abundant number, since it is smaller than the sum of its proper divisors (393186671719).

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

216883941264 is an frugal number, since it uses more digits than its factorization.

216883941264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 202 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 216883941264 in words is "two hundred sixteen billion, eight hundred eighty-three million, nine hundred forty-one thousand, two hundred sixty-four".