13858128648 has 864 divisors, whose sum is σ = 53121519360. Its totient is φ = 3350833920.

The previous prime is 13858128631. The next prime is 13858128673. The reversal of 13858128648 is 84682185831.

13858128648 is a `hidden beast` number, since 1 + 38 + 581 + 28 + 6 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13858128594 and 13858128603.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 447036393 + ... + 447036423.

It is an arithmetic number, because the mean of its divisors is an integer number (61483240).

Almost surely, 2^13858128648 is an apocalyptic number.

13858128648 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 13858128648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560759680).

13858128648 is an abundant number, since it is smaller than the sum of its proper divisors (39263390712).

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

13858128648 is a wasteful number, since it uses less digits than its factorization.

13858128648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 75 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 13858128648 in words is "thirteen billion, eight hundred fifty-eight million, one hundred twenty-eight thousand, six hundred forty-eight".