13666449600 has 420 divisors, whose sum is σ = 53197972344. Its totient is φ = 3429457920.

The previous prime is 13666449571. The next prime is 13666449613. The reversal of 13666449600 is 694466631.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2200099 + ... + 2206301.

Almost surely, 2^13666449600 is an apocalyptic number.

13666449600 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 13666449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598986172).

13666449600 is an abundant number, since it is smaller than the sum of its proper divisors (39531522744).

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

13666449600 is a wasteful number, since it uses less digits than its factorization.

13666449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13666449600 in words is "thirteen billion, six hundred sixty-six million, four hundred forty-nine thousand, six hundred".