13449668198400 has 2592 divisors, whose sum is σ = 60580282613760. Its totient is φ = 2889476997120.

The previous prime is 13449668198387. The next prime is 13449668198563. The reversal of 13449668198400 is 489186694431.

13449668198400 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 9 + 66 + 81 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 105902899137 + ... + 105902899263.

Almost surely, 2^{13449668198400} is an apocalyptic number.

13449668198400 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 13449668198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30290141306880).

13449668198400 is an abundant number, since it is smaller than the sum of its proper divisors (47130614415360).

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

13449668198400 is an frugal number, since it uses more digits than its factorization.

13449668198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 13449668198400 in words is "thirteen trillion, four hundred forty-nine billion, six hundred sixty-eight million, one hundred ninety-eight thousand, four hundred".