13442314600 has 192 divisors, whose sum is σ = 37712586240. Its totient is φ = 4389811200.

The previous prime is 13442314591. The next prime is 13442314607. The reversal of 13442314600 is 641324431.

It is not an unprimeable number, because it can be changed into a prime (13442314607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051849 + ... + 1064551.

It is an arithmetic number, because the mean of its divisors is an integer number (196419720).

Almost surely, 2^13442314600 is an apocalyptic number.

13442314600 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 13442314600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18856293120).

13442314600 is an abundant number, since it is smaller than the sum of its proper divisors (24270271640).

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

13442314600 is a wasteful number, since it uses less digits than its factorization.

13442314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780 (or 12771 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 13442314600 in words is "thirteen billion, four hundred forty-two million, three hundred fourteen thousand, six hundred".