15384185089 has 81 divisors (see below), whose sum is σ = 20505750057. Its totient is φ = 11502324288.

The previous prime is 15384185087. The next prime is 15384185093. The reversal of 15384185089 is 98058148351.

The square root of 15384185089 is 124033.

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 1972692225 + 13411492864 = 44415^2 + 115808^2 .

It is not a de Polignac number, because 15384185089 - 2¹ = 15384185087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15384185087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 327323064 + ... + 327323110.

Almost surely, 2^15384185089 is an apocalyptic number.

15384185089 is the 124033-rd square number.

15384185089 is the 62017-th centered octagonal number.

It is an amenable number.

15384185089 is a deficient number, since it is larger than the sum of its proper divisors (5121564968).

15384185089 is an equidigital number, since it uses as much as digits as its factorization.

15384185089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 52.

The spelling of 15384185089 in words is "fifteen billion, three hundred eighty-four million, one hundred eighty-five thousand, eighty-nine".