13467441130752 has 288 divisors, whose sum is σ = 43463772979200. Its totient is φ = 3613924491264.

The previous prime is 13467441130733. The next prime is 13467441130777. The reversal of 13467441130752 is 25703114476431.

It is a super-2 number, since 2×13467441130752² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43622949 + ... + 43930587.

It is an arithmetic number, because the mean of its divisors is an integer number (150915878400).

Almost surely, 2^{13467441130752} is an apocalyptic number.

13467441130752 is a gapful number since it is divisible by the number (12) 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 13467441130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21731886489600).

13467441130752 is an abundant number, since it is smaller than the sum of its proper divisors (29996331848448).

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

13467441130752 is a wasteful number, since it uses less digits than its factorization.

13467441130752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308161 (or 308147 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 13467441130752 in words is "thirteen trillion, four hundred sixty-seven billion, four hundred forty-one million, one hundred thirty thousand, seven hundred fifty-two".