13766145656872 has 32 divisors (see below), whose sum is σ = 29501979091200. Its totient is φ = 5899157601984.

The previous prime is 13766145656869. The next prime is 13766145656873. The reversal of 13766145656872 is 27865654166731.

It is a super-3 number, since 3×13766145656872³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13766145656798 and 13766145656807.

It is not an unprimeable number, because it can be changed into a prime (13766145656873) 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, 12359472 + ... + 13427167.

It is an arithmetic number, because the mean of its divisors is an integer number (921936846600).

Almost surely, 2^{13766145656872} is an apocalyptic number.

It is an amenable number.

13766145656872 is an abundant number, since it is smaller than the sum of its proper divisors (15735833434328).

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

13766145656872 is a wasteful number, since it uses less digits than its factorization.

13766145656872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25796185 (or 25796181 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 67.

The spelling of 13766145656872 in words is "thirteen trillion, seven hundred sixty-six billion, one hundred forty-five million, six hundred fifty-six thousand, eight hundred seventy-two".