13766461563 has 8 divisors (see below), whose sum is σ = 18666388800. Its totient is φ = 9022087688.

The previous prime is 13766461543. The next prime is 13766461613. The reversal of 13766461563 is 36516466731.

13766461563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13766461563 - 2¹⁴ = 13766445179 is a prime.

It is a super-4 number, since 4×13766461563⁴ (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (13766461543) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38888133 + ... + 38888486.

It is an arithmetic number, because the mean of its divisors is an integer number (2333298600).

Almost surely, 2^13766461563 is an apocalyptic number.

13766461563 is a deficient number, since it is larger than the sum of its proper divisors (4899927237).

13766461563 is an equidigital number, since it uses as much as digits as its factorization.

13766461563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77776681.

The product of its digits is 1632960, while the sum is 48.

The spelling of 13766461563 in words is "thirteen billion, seven hundred sixty-six million, four hundred sixty-one thousand, five hundred sixty-three".