13042984608 has 96 divisors (see below), whose sum is σ = 38332768320. Its totient is φ = 4314435840.

The previous prime is 13042984573. The next prime is 13042984631. The reversal of 13042984608 is 80648924031.

It is a happy number.

13042984608 is a `hidden beast` number, since 1 + 30 + 4 + 2 + 9 + 8 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 55566 + ... + 170802.

It is an arithmetic number, because the mean of its divisors is an integer number (399299670).

Almost surely, 2^13042984608 is an apocalyptic number.

13042984608 is a gapful number since it is divisible by the number (18) 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 13042984608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166384160).

13042984608 is an abundant number, since it is smaller than the sum of its proper divisors (25289783712).

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

13042984608 is a wasteful number, since it uses less digits than its factorization.

13042984608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115387 (or 115373 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13042984608 in words is "thirteen billion, forty-two million, nine hundred eighty-four thousand, six hundred eight".