443109892225 has 405 divisors, whose sum is σ = 805197669129. Its totient is φ = 241556515200.

The previous prime is 443109892223. The next prime is 443109892237. The reversal of 443109892225 is 522298901344.

The square root of 443109892225 is 665665.

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

It can be written as a sum of positive squares in 4 ways, for example, as 114212230209 + 328897662016 = 337953^2 + 573496^2 .

It is not a de Polignac number, because 443109892225 - 2¹ = 443109892223 is a prime.

It is a super-2 number, since 2×443109892225² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (443109892223) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 23321573266 + ... + 23321573284.

Almost surely, 2^443109892225 is an apocalyptic number.

443109892225 is the 665665-th square number.

443109892225 is the 332833-rd centered octagonal number.

It is an amenable number.

443109892225 is a deficient number, since it is larger than the sum of its proper divisors (362087776904).

443109892225 is a wasteful number, since it uses less digits than its factorization.

443109892225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 443109892225 by its sum of digits (49), we get a square (21712384719025 = 4659655²).

443109892225 divided by its sum of digits (49) gives a square (9043059025 = 95095²).

The spelling of 443109892225 in words is "four hundred forty-three billion, one hundred nine million, eight hundred ninety-two thousand, two hundred twenty-five".