12641803259904 has 1872 divisors, whose sum is σ = 48118076418048. Its totient is φ = 3286780084224.

The previous prime is 12641803259881. The next prime is 12641803259951. The reversal of 12641803259904 is 40995230814621.

It is a happy number.

12641803259904 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 18 + 0 + 32 + 599 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 80521039794 + ... + 80521039950.

Almost surely, 2^{12641803259904} is an apocalyptic number.

12641803259904 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 12641803259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24059038209024).

12641803259904 is an abundant number, since it is smaller than the sum of its proper divisors (35476273158144).

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

12641803259904 is a wasteful number, since it uses less digits than its factorization.

12641803259904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12641803259904 in words is "twelve trillion, six hundred forty-one billion, eight hundred three million, two hundred fifty-nine thousand, nine hundred four".