13845993561 has 27 divisors (see below), whose sum is σ = 20364679647. Its totient is φ = 9065219760.

The previous prime is 13845993559. The next prime is 13845993599. The reversal of 13845993561 is 16539954831.

The square root of 13845993561 is 117669.

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

13845993561 is a `hidden beast` number, since 1 + 38 + 45 + 9 + 9 + 3 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 450245961 + 13395747600 = 21219^2 + 115740^2 .

It is not a de Polignac number, because 13845993561 - 2¹ = 13845993559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13845993498 and 13845993507.

It is not an unprimeable number, because it can be changed into a prime (13845993541) 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, 21533106 + ... + 21533748.

Almost surely, 2^13845993561 is an apocalyptic number.

13845993561 is the 117669-th square number.

13845993561 is the 58835-th centered octagonal number.

It is an amenable number.

13845993561 is a deficient number, since it is larger than the sum of its proper divisors (6518686086).

13845993561 is an frugal number, since it uses more digits than its factorization.

13845993561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 707 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 13845993561 in words is "thirteen billion, eight hundred forty-five million, nine hundred ninety-three thousand, five hundred sixty-one".