13449194616000 has 1792 divisors, whose sum is σ = 55275776704512. Its totient is φ = 2834675712000.

The previous prime is 13449194615981. The next prime is 13449194616001. The reversal of 13449194616000 is 61649194431.

13449194616000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13449194616001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5288710729 + ... + 5288713271.

It is an arithmetic number, because the mean of its divisors is an integer number (30845857536).

Almost surely, 2^{13449194616000} is an apocalyptic number.

13449194616000 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 13449194616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637888352256).

13449194616000 is an abundant number, since it is smaller than the sum of its proper divisors (41826582088512).

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

13449194616000 is a wasteful number, since it uses less digits than its factorization.

13449194616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 13449194616000 in words is "thirteen trillion, four hundred forty-nine billion, one hundred ninety-four million, six hundred sixteen thousand".