13804436016000 has 3840 divisors, whose sum is σ = 66571355822400. Its totient is φ = 2809213747200.

The previous prime is 13804436015963. The next prime is 13804436016013. The reversal of 13804436016000 is 61063440831.

It is a happy number.

13804436016000 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 4 + 43 + 6 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20511791664 + ... + 20511792336.

Almost surely, 2^{13804436016000} is an apocalyptic number.

13804436016000 is a gapful number since it is divisible by the number (10) 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 13804436016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33285677911200).

13804436016000 is an abundant number, since it is smaller than the sum of its proper divisors (52766919806400).

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

13804436016000 is a wasteful number, since it uses less digits than its factorization.

13804436016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13804436016000 its reverse (61063440831), we get a palindrome (13865499456831).

The spelling of 13804436016000 in words is "thirteen trillion, eight hundred four billion, four hundred thirty-six million, sixteen thousand".