13449283736400 has 720 divisors, whose sum is σ = 49430903184000. Its totient is φ = 3379486556160.

The previous prime is 13449283736393. The next prime is 13449283736401. The reversal of 13449283736400 is 463738294431.

It is a happy number.

13449283736400 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 92 + 83 + 73 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13449283736401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2085480376 + ... + 2085486824.

It is an arithmetic number, because the mean of its divisors is an integer number (68654032200).

Almost surely, 2^{13449283736400} is an apocalyptic number.

13449283736400 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 13449283736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24715451592000).

13449283736400 is an abundant number, since it is smaller than the sum of its proper divisors (35981619447600).

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

13449283736400 is a wasteful number, since it uses less digits than its factorization.

13449283736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 13449283736400 in words is "thirteen trillion, four hundred forty-nine billion, two hundred eighty-three million, seven hundred thirty-six thousand, four hundred".