13451003904 has 192 divisors, whose sum is σ = 39103646400. Its totient is φ = 4086890496.

The previous prime is 13451003899. The next prime is 13451003981. The reversal of 13451003904 is 40930015431.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6628362 + ... + 6630390.

It is an arithmetic number, because the mean of its divisors is an integer number (203664825).

Almost surely, 2^13451003904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13451003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19551823200).

13451003904 is an abundant number, since it is smaller than the sum of its proper divisors (25652642496).

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

13451003904 is a wasteful number, since it uses less digits than its factorization.

13451003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 13451003904 in words is "thirteen billion, four hundred fifty-one million, three thousand, nine hundred four".