13844073061504 has 384 divisors, whose sum is σ = 35111030653440. Its totient is φ = 5397073920000.

The previous prime is 13844073061499. The next prime is 13844073061547. The reversal of 13844073061504 is 40516037044831.

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 47 ways as a sum of consecutive naturals, for example, 3110326479 + ... + 3110330929.

It is an arithmetic number, because the mean of its divisors is an integer number (91434975660).

Almost surely, 2^{13844073061504} is an apocalyptic number.

13844073061504 is a gapful number since it is divisible by the number (14) 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 13844073061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17555515326720).

13844073061504 is an abundant number, since it is smaller than the sum of its proper divisors (21266957591936).

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

13844073061504 is a wasteful number, since it uses less digits than its factorization.

13844073061504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 13844073061504 in words is "thirteen trillion, eight hundred forty-four billion, seventy-three million, sixty-one thousand, five hundred four".