13435619004369 has 9 divisors (see below), whose sum is σ = 19407021112219. Its totient is φ = 8957072005320.

The previous prime is 13435619004347. The next prime is 13435619004443. The reversal of 13435619004369 is 96340091653431.

It is a happy number.

The square root of 13435619004369 is 3665463.

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

13435619004369 is a `hidden beast` number, since 1 + 3 + 4 + 356 + 190 + 0 + 43 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9541074632769 + 3894544371600 = 3088863^2 + 1973460^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13435619004369 - 2¹⁷ = 13435618873297 is a prime.

It is a super-4 number, since 4×13435619004369⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13435619004469) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10385479 + ... + 11607299.

Almost surely, 2^{13435619004369} is an apocalyptic number.

13435619004369 is the 3665463-rd square number.

13435619004369 is the 1832732-nd centered octagonal number.

It is an amenable number.

13435619004369 is a deficient number, since it is larger than the sum of its proper divisors (5971402107850).

13435619004369 is an frugal number, since it uses more digits than its factorization.

13435619004369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443648 (or 1221824 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 13435619004369 in words is "thirteen trillion, four hundred thirty-five billion, six hundred nineteen million, four thousand, three hundred sixty-nine".