1904463480529 has 27 divisors (see below), whose sum is σ = 2062881227953. Its totient is φ = 1757994739424.

The previous prime is 1904463480509. The next prime is 1904463480553. The reversal of 1904463480529 is 9250843644091.

The square root of 1904463480529 is 1380023.

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 228888566929 + 1675574913600 = 478423^2 + 1294440^2 .

It is not a de Polignac number, because 1904463480529 - 2¹³ = 1904463472337 is a prime.

It is a super-2 number, since 2×1904463480529² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1904463480529.

It is not an unprimeable number, because it can be changed into a prime (1904463480509) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 920474307 + ... + 920476375.

Almost surely, 2^{1904463480529} is an apocalyptic number.

1904463480529 is the 1380023-rd square number.

1904463480529 is the 690012-nd centered octagonal number.

It is an amenable number.

1904463480529 is a deficient number, since it is larger than the sum of its proper divisors (158417747424).

1904463480529 is an frugal number, since it uses more digits than its factorization.

1904463480529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 1904463480529 in words is "one trillion, nine hundred four billion, four hundred sixty-three million, four hundred eighty thousand, five hundred twenty-nine".