13704548143104 has 1040 divisors, whose sum is σ = 50662422764800. Its totient is φ = 3594646978560.

The previous prime is 13704548143081. The next prime is 13704548143151. The reversal of 13704548143104 is 40134184540731.

13704548143104 is a `hidden beast` number, since 1 + 3 + 70 + 4 + 548 + 1 + 4 + 31 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13704548143104.

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 79 ways as a sum of consecutive naturals, for example, 6008130444 + ... + 6008132724.

Almost surely, 2^{13704548143104} is an apocalyptic number.

13704548143104 is a gapful number since it is divisible by the number (14) 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 13704548143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25331211382400).

13704548143104 is an abundant number, since it is smaller than the sum of its proper divisors (36957874621696).

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

13704548143104 is a wasteful number, since it uses less digits than its factorization.

13704548143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 13704548143104 in words is "thirteen trillion, seven hundred four billion, five hundred forty-eight million, one hundred forty-three thousand, one hundred four".