4216164624 has 135 divisors (see below), whose sum is σ = 13743618213. Its totient is φ = 1203060096.

The previous prime is 4216164593. The next prime is 4216164637. The reversal of 4216164624 is 4264616124.

The square root of 4216164624 is 64932.

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

4216164624 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 1 + 646 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 268304400 + 3947860224 = 16380^2 + 62832^2 .

It is a super-2 number, since 2×4216164624² = 35552088273338122752, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5453902 + ... + 5454674.

Almost surely, 2^4216164624 is an apocalyptic number.

4216164624 is the 64932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4216164624

4216164624 is an abundant number, since it is smaller than the sum of its proper divisors (9527453589).

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

4216164624 is an equidigital number, since it uses as much as digits as its factorization.

4216164624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 785 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 4216164624 is about 1615.4958745933.

Multiplying 4216164624 by its sum of digits (36), we get a square (151781926464 = 389592²).

4216164624 divided by its sum of digits (36) gives a square (117115684 = 10822²).

The spelling of 4216164624 in words is "four billion, two hundred sixteen million, one hundred sixty-four thousand, six hundred twenty-four".