13143803904 has 720 divisors, whose sum is σ = 50101374960. Its totient is φ = 3413975040.

The previous prime is 13143803873. The next prime is 13143803917. The reversal of 13143803904 is 40930834131.

13143803904 is a `hidden beast` number, since 131 + 438 + 0 + 3 + 90 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1194891259 + ... + 1194891269.

It is an arithmetic number, because the mean of its divisors is an integer number (69585243).

Almost surely, 2^13143803904 is an apocalyptic number.

13143803904 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 13143803904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050687480).

13143803904 is an abundant number, since it is smaller than the sum of its proper divisors (36957571056).

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

13143803904 is an frugal number, since it uses more digits than its factorization.

13143803904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13143803904 in words is "thirteen billion, one hundred forty-three million, eight hundred three thousand, nine hundred four".