10434475584 has 84 divisors (see below), whose sum is σ = 32209220316. Its totient is φ = 3210605568.

The previous prime is 10434475567. The next prime is 10434475607. The reversal of 10434475584 is 48557443401.

10434475584 is a `hidden beast` number, since 10 + 43 + 4 + 47 + 558 + 4 = 666.

10434475584 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 2 ways, for example, as 1089000000 + 9345475584 = 33000^2 + 96672^2 .

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 11 ways as a sum of consecutive naturals, for example, 689259 + ... + 704234.

It is an arithmetic number, because the mean of its divisors is an integer number (383443099).

Almost surely, 2^10434475584 is an apocalyptic number.

It is an amenable number.

10434475584 is an abundant number, since it is smaller than the sum of its proper divisors (21774744732).

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

10434475584 is a wasteful number, since it uses less digits than its factorization.

10434475584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393524 (or 1393511 counting only the distinct ones).

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

The spelling of 10434475584 in words is "ten billion, four hundred thirty-four million, four hundred seventy-five thousand, five hundred eighty-four".