13638278320128 has 2496 divisors, whose sum is σ = 54661884928000. Its totient is φ = 3279327068160.

The previous prime is 13638278320123. The next prime is 13638278320129. The reversal of 13638278320128 is 82102387283631.

13638278320128 is a `hidden beast` number, since 1 + 3 + 6 + 38 + 278 + 320 + 12 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13638278320123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 140600807376 + ... + 140600807472.

Almost surely, 2^{13638278320128} is an apocalyptic number.

13638278320128 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 13638278320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27330942464000).

13638278320128 is an abundant number, since it is smaller than the sum of its proper divisors (41023606607872).

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

13638278320128 is a wasteful number, since it uses less digits than its factorization.

13638278320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13638278320128 in words is "thirteen trillion, six hundred thirty-eight billion, two hundred seventy-eight million, three hundred twenty thousand, one hundred twenty-eight".