13449081600 has 324 divisors, whose sum is σ = 50618331400. Its totient is φ = 3397386240.

The previous prime is 13449081593. The next prime is 13449081601. The reversal of 13449081600 is 618094431.

13449081600 is a `hidden beast` number, since 1 + 3 + 4 + 49 + 0 + 8 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13449081601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1088256 + ... + 1100544.

Almost surely, 2^13449081600 is an apocalyptic number.

13449081600 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 13449081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25309165700).

13449081600 is an abundant number, since it is smaller than the sum of its proper divisors (37169249800).

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

13449081600 is a wasteful number, since it uses less digits than its factorization.

13449081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12340 (or 12318 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13449081600 in words is "thirteen billion, four hundred forty-nine million, eighty-one thousand, six hundred".