13723428272764 has 48 divisors (see below), whose sum is σ = 28640624140800. Its totient is φ = 5625669525696.

The previous prime is 13723428272717. The next prime is 13723428272767. The reversal of 13723428272764 is 46727282432731.

It is a junction number, because it is equal to n+sod(n) for n = 13723428272699 and 13723428272708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13723428272767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62215582 + ... + 62435770.

It is an arithmetic number, because the mean of its divisors is an integer number (596679669600).

Almost surely, 2^{13723428272764} is an apocalyptic number.

13723428272764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13723428272764 is an abundant number, since it is smaller than the sum of its proper divisors (14917195868036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13723428272764 is a wasteful number, since it uses less digits than its factorization.

13723428272764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317002 (or 317000 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 58.

The spelling of 13723428272764 in words is "thirteen trillion, seven hundred twenty-three billion, four hundred twenty-eight million, two hundred seventy-two thousand, seven hundred sixty-four".