8735145444 has 81 divisors (see below), whose sum is σ = 22747437531. Its totient is φ = 2826290880.

The previous prime is 8735145437. The next prime is 8735145457. The reversal of 8735145444 is 4445415378.

The square root of 8735145444 is 93462.

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

8735145444 is a `hidden beast` number, since 87 + 3 + 514 + 54 + 4 + 4 = 666.

8735145444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 583222500 + 8151922944 = 24150^2 + 90288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8735145444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20748354 + ... + 20748774.

Almost surely, 2^8735145444 is an apocalyptic number.

8735145444 is the 93462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8735145444

8735145444 is an abundant number, since it is smaller than the sum of its proper divisors (14012292087).

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

8735145444 is a wasteful number, since it uses less digits than its factorization.

8735145444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 463 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The cubic root of 8735145444 is about 2059.4758967697.

The spelling of 8735145444 in words is "eight billion, seven hundred thirty-five million, one hundred forty-five thousand, four hundred forty-four".