216169203600 has 1215 divisors, whose sum is σ = 928801167411. Its totient is φ = 48204979200.

The previous prime is 216169203577. The next prime is 216169203643. The reversal of 216169203600 is 6302961612.

It is a happy number.

The square root of 216169203600 is 464940.

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

216169203600 is a `hidden beast` number, since 2 + 1 + 616 + 9 + 2 + 0 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90989102736 + 125180100864 = 301644^2 + 353808^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

It is a super-4 number, since 4×216169203600⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5272419580 + ... + 5272419620.

Almost surely, 2^216169203600 is an apocalyptic number.

216169203600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

216169203600 is the 464940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216169203600

216169203600 is an abundant number, since it is smaller than the sum of its proper divisors (712631963811).

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

216169203600 is an frugal number, since it uses more digits than its factorization.

216169203600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 216169203600 by its sum of digits (36), we get a square (7782091329600 = 2789640²).

216169203600 divided by its sum of digits (36) gives a square (6004700100 = 77490²).

It can be divided in two parts, 2161 and 69203600, that added together give a square (69205761 = 8319²).

The spelling of 216169203600 in words is "two hundred sixteen billion, one hundred sixty-nine million, two hundred three thousand, six hundred".