13348075104000 has 3456 divisors, whose sum is σ = 62697335500800. Its totient is φ = 2771590348800.

The previous prime is 13348075103999. The next prime is 13348075104037. The reversal of 13348075104000 is 40157084331.

It is a happy number.

13348075104000 is a `hidden beast` number, since 1 + 3 + 3 + 480 + 75 + 104 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×13348075104000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43479071847 + ... + 43479072153.

Almost surely, 2^{13348075104000} is an apocalyptic number.

13348075104000 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 13348075104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31348667750400).

13348075104000 is an abundant number, since it is smaller than the sum of its proper divisors (49349260396800).

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

13348075104000 is a wasteful number, since it uses less digits than its factorization.

13348075104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13348075104000 in words is "thirteen trillion, three hundred forty-eight billion, seventy-five million, one hundred four thousand".