216405783083169 has 9 divisors (see below), whose sum is σ = 312586194866673. Its totient is φ = 144270492633972.

The previous prime is 216405783083101. The next prime is 216405783083183. The reversal of 216405783083169 is 961380387504612.

The square root of 216405783083169 is 14710737.

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

216405783083169 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 0 + 5 + 7 + 8 + 308 + 316 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 216405783083169 - 2²⁵ = 216405749528737 is a prime.

It is a super-2 number, since 2×216405783083169² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216405783088169) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41680422 + ... + 46584000.

It is a 1-persistent number, because it is pandigital, but 2⋅216405783083169 = 432811566166338 is not.

Almost surely, 2^{216405783083169} is an apocalyptic number.

216405783083169 is the 14710737-th square number.

216405783083169 is the 7355369-th centered octagonal number.

It is an amenable number.

216405783083169 is a deficient number, since it is larger than the sum of its proper divisors (96180411783504).

216405783083169 is an frugal number, since it uses more digits than its factorization.

216405783083169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9807164 (or 4903582 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 216405783083169 in words is "two hundred sixteen trillion, four hundred five billion, seven hundred eighty-three million, eighty-three thousand, one hundred sixty-nine".