13456286506761 has 64 divisors (see below), whose sum is σ = 22202209075200. Its totient is φ = 7077441484800.

The previous prime is 13456286506697. The next prime is 13456286506813. The reversal of 13456286506761 is 16760568265431.

It is a happy number.

It is not a de Polignac number, because 13456286506761 - 2⁶ = 13456286506697 is a prime.

It is a super-2 number, since 2×13456286506761² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13456286506695 and 13456286506704.

It is not an unprimeable number, because it can be changed into a prime (13456286506261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2235960 + ... + 5649078.

It is an arithmetic number, because the mean of its divisors is an integer number (346909516800).

Almost surely, 2^{13456286506761} is an apocalyptic number.

It is an amenable number.

13456286506761 is a deficient number, since it is larger than the sum of its proper divisors (8745922568439).

13456286506761 is a wasteful number, since it uses less digits than its factorization.

13456286506761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413430.

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 13456286506761 in words is "thirteen trillion, four hundred fifty-six billion, two hundred eighty-six million, five hundred six thousand, seven hundred sixty-one".