6438860135136 has 288 divisors, whose sum is σ = 21555525962880. Its totient is φ = 1797405926400.

The previous prime is 6438860135117. The next prime is 6438860135153. The reversal of 6438860135136 is 6315310688346.

6438860135136 is a `hidden beast` number, since 6 + 4 + 38 + 86 + 0 + 13 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20062135 + ... + 20380553.

It is an arithmetic number, because the mean of its divisors is an integer number (74845576260).

Almost surely, 2^{6438860135136} is an apocalyptic number.

6438860135136 is a gapful number since it is divisible by the number (66) 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 6438860135136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777762981440).

6438860135136 is an abundant number, since it is smaller than the sum of its proper divisors (15116665827744).

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

6438860135136 is a wasteful number, since it uses less digits than its factorization.

6438860135136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318950 (or 318939 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6438860135136 in words is "six trillion, four hundred thirty-eight billion, eight hundred sixty million, one hundred thirty-five thousand, one hundred thirty-six".