13674194800 has 180 divisors, whose sum is σ = 40464865440. Its totient is φ = 4412405760.

The previous prime is 13674194741. The next prime is 13674194843. The reversal of 13674194800 is 849147631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 312681 + ... + 353719.

It is an arithmetic number, because the mean of its divisors is an integer number (224804808).

Almost surely, 2^13674194800 is an apocalyptic number.

13674194800 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 13674194800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232432720).

13674194800 is an abundant number, since it is smaller than the sum of its proper divisors (26790670640).

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

13674194800 is a wasteful number, since it uses less digits than its factorization.

13674194800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41088 (or 41070 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 13674194800 in words is "thirteen billion, six hundred seventy-four million, one hundred ninety-four thousand, eight hundred".