13776449668800 has 1344 divisors, whose sum is σ = 57003095568384. Its totient is φ = 2835283968000.

The previous prime is 13776449668781. The next prime is 13776449668829. The reversal of 13776449668800 is 886694467731.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7246947850 + ... + 7246949750.

It is an arithmetic number, because the mean of its divisors is an integer number (42413017536).

Almost surely, 2^{13776449668800} is an apocalyptic number.

13776449668800 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 13776449668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28501547784192).

13776449668800 is an abundant number, since it is smaller than the sum of its proper divisors (43226645899584).

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

13776449668800 is a wasteful number, since it uses less digits than its factorization.

13776449668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 69.

The spelling of 13776449668800 in words is "thirteen trillion, seven hundred seventy-six billion, four hundred forty-nine million, six hundred sixty-eight thousand, eight hundred".