13467567040256 has 108 divisors (see below), whose sum is σ = 31273687162872. Its totient is φ = 5771412670464.

The previous prime is 13467567040241. The next prime is 13467567040267. The reversal of 13467567040256 is 65204076576431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243363566 + ... + 243418898.

It is an arithmetic number, because the mean of its divisors is an integer number (289571177434).

Almost surely, 2^{13467567040256} is an apocalyptic number.

13467567040256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13467567040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636843581436).

13467567040256 is an abundant number, since it is smaller than the sum of its proper divisors (17806120122616).

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

13467567040256 is an equidigital number, since it uses as much as digits as its factorization.

13467567040256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74766 (or 74745 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 56.

The spelling of 13467567040256 in words is "thirteen trillion, four hundred sixty-seven billion, five hundred sixty-seven million, forty thousand, two hundred fifty-six".