2163366144 has 405 divisors, whose sum is σ = 7232186577. Its totient is φ = 642981888.

The previous prime is 2163366113. The next prime is 2163366187. The reversal of 2163366144 is 4416633612.

The square root of 2163366144 is 46512.

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

2163366144 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 36 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1684281600 + 479084544 = 41040^2 + 21888^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2163366099 and 2163366108.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 113861367 + ... + 113861385.

Almost surely, 2^2163366144 is an apocalyptic number.

2163366144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2163366144 is the 46512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163366144

2163366144 is an abundant number, since it is smaller than the sum of its proper divisors (5068820433).

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

2163366144 is an equidigital number, since it uses as much as digits as its factorization.

2163366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The cubic root of 2163366144 is about 1293.3319597061.

Multiplying 2163366144 by its sum of digits (36), we get a square (77881181184 = 279072²).

2163366144 divided by its sum of digits (36) gives a square (60093504 = 7752²).

Adding to 2163366144 its reverse (4416633612), we get a palindrome (6579999756).

The spelling of 2163366144 in words is "two billion, one hundred sixty-three million, three hundred sixty-six thousand, one hundred forty-four".