13888197648 has 120 divisors (see below), whose sum is σ = 42878635800. Its totient is φ = 4169041920.

The previous prime is 13888197623. The next prime is 13888197667. The reversal of 13888197648 is 84679188831.

13888197648 is a `hidden beast` number, since 1 + 388 + 8 + 197 + 64 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 957778704 + 12930418944 = 30948^2 + 113712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13723 + ... + 167226.

It is an arithmetic number, because the mean of its divisors is an integer number (357321965).

Almost surely, 2^13888197648 is an apocalyptic number.

13888197648 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 13888197648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21439317900).

13888197648 is an abundant number, since it is smaller than the sum of its proper divisors (28990438152).

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

13888197648 is a wasteful number, since it uses less digits than its factorization.

13888197648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181017 (or 181008 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 13888197648 in words is "thirteen billion, eight hundred eighty-eight million, one hundred ninety-seven thousand, six hundred forty-eight".