8133875344 has 45 divisors (see below), whose sum is σ = 18338037321. Its totient is φ = 3484864320.

The previous prime is 8133875339. The next prime is 8133875363. The reversal of 8133875344 is 4435783318.

It is a happy number.

The square root of 8133875344 is 90188.

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

It can be written as a sum of positive squares in only one way, i.e., 6274540944 + 1859334400 = 79212^2 + 43120^2 .

It is a super-2 number, since 2×8133875344² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8133875294 and 8133875303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2523654 + ... + 2526874.

Almost surely, 2^8133875344 is an apocalyptic number.

8133875344 is the 90188-th square number.

It is an amenable number.

8133875344 is an abundant number, since it is smaller than the sum of its proper divisors (10204161977).

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

8133875344 is an frugal number, since it uses more digits than its factorization.

8133875344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 3230 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The cubic root of 8133875344 is about 2011.0946195714.

The spelling of 8133875344 in words is "eight billion, one hundred thirty-three million, eight hundred seventy-five thousand, three hundred forty-four".