13436946681 has 64 divisors (see below), whose sum is σ = 19388160000. Its totient is φ = 8262600192.

The previous prime is 13436946671. The next prime is 13436946697. The reversal of 13436946681 is 18664963431.

13436946681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13436946681 - 2¹⁹ = 13436422393 is a prime.

It is a super-2 number, since 2×13436946681² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13436946641) 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 63 ways as a sum of consecutive naturals, for example, 30607860 + ... + 30608298.

It is an arithmetic number, because the mean of its divisors is an integer number (302940000).

Almost surely, 2^13436946681 is an apocalyptic number.

It is an amenable number.

13436946681 is a deficient number, since it is larger than the sum of its proper divisors (5951213319).

13436946681 is a wasteful number, since it uses less digits than its factorization.

13436946681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686.

The product of its digits is 2239488, while the sum is 51.

The spelling of 13436946681 in words is "thirteen billion, four hundred thirty-six million, nine hundred forty-six thousand, six hundred eighty-one".