1504144345 has 12 divisors (see below), whose sum is σ = 1983979620. Its totient is φ = 1093922720.

The previous prime is 1504144333. The next prime is 1504144403. The reversal of 1504144345 is 5434414051.

It can be written as a sum of positive squares in 2 ways, for example, as 820478736 + 683665609 = 28644^2 + 26147^2 .

It is not a de Polignac number, because 1504144345 - 2¹⁹ = 1503620057 is a prime.

It is a super-3 number, since 3×1504144345³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1242490 + ... + 1243699.

It is an arithmetic number, because the mean of its divisors is an integer number (165331635).

Almost surely, 2^1504144345 is an apocalyptic number.

It is an amenable number.

1504144345 is a deficient number, since it is larger than the sum of its proper divisors (479835275).

1504144345 is a wasteful number, since it uses less digits than its factorization.

1504144345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486216 (or 2486205 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 1504144345 is about 38783.2998209281. The cubic root of 1504144345 is about 1145.7675155083.

Adding to 1504144345 its reverse (5434414051), we get a palindrome (6938558396).

The spelling of 1504144345 in words is "one billion, five hundred four million, one hundred forty-four thousand, three hundred forty-five".