13498009188000 has 192 divisors, whose sum is σ = 44253781004160. Its totient is φ = 3596676864000.

The previous prime is 13498009187947. The next prime is 13498009188023. The reversal of 13498009188000 is 88190089431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15056356 + ... + 15927644.

It is an arithmetic number, because the mean of its divisors is an integer number (230488442730).

Almost surely, 2^{13498009188000} is an apocalyptic number.

13498009188000 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 13498009188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22126890502080).

13498009188000 is an abundant number, since it is smaller than the sum of its proper divisors (30755771816160).

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

13498009188000 is a wasteful number, since it uses less digits than its factorization.

13498009188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872608 (or 872590 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 13498009188000 in words is "thirteen trillion, four hundred ninety-eight billion, nine million, one hundred eighty-eight thousand".