13769064427561 has 9 divisors (see below), whose sum is σ = 14227674508893. Its totient is φ = 13324789738860.

The previous prime is 13769064427543. The next prime is 13769064427589. The reversal of 13769064427561 is 16572446096731.

The square root of 13769064427561 is 3710669.

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

It is not a de Polignac number, because 13769064427561 - 2¹⁵ = 13769064394793 is a prime.

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 13769064427561.

It is not an unprimeable number, because it can be changed into a prime (13769064427061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114970890 + ... + 115090588.

Almost surely, 2^{13769064427561} is an apocalyptic number.

13769064427561 is the 3710669-th square number.

13769064427561 is the 1855335-th centered octagonal number.

It is an amenable number.

13769064427561 is a deficient number, since it is larger than the sum of its proper divisors (458610081332).

13769064427561 is an frugal number, since it uses more digits than its factorization.

13769064427561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239460 (or 119730 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 13769064427561 in words is "thirteen trillion, seven hundred sixty-nine billion, sixty-four million, four hundred twenty-seven thousand, five hundred sixty-one".