4433163938064 has 135 divisors (see below), whose sum is σ = 12571396888869. Its totient is φ = 1458359061120.

The previous prime is 4433163938051. The next prime is 4433163938123. The reversal of 4433163938064 is 4608393613344.

It is a happy number.

The square root of 4433163938064 is 2105508.

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

4433163938064 is a `hidden beast` number, since 4 + 43 + 3 + 163 + 9 + 380 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3006381467664 + 1426782470400 = 1733892^2 + 1194480^2 .

It is a super-2 number, since 2×4433163938064² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4433163938064.

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, 1996020474 + ... + 1996022694.

Almost surely, 2^{4433163938064} is an apocalyptic number.

4433163938064 is the 2105508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4433163938064

4433163938064 is an abundant number, since it is smaller than the sum of its proper divisors (8138232950805).

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

4433163938064 is an frugal number, since it uses more digits than its factorization.

4433163938064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 4433163938064 in words is "four trillion, four hundred thirty-three billion, one hundred sixty-three million, nine hundred thirty-eight thousand, sixty-four".