13868219952 has 240 divisors, whose sum is σ = 41156810240. Its totient is φ = 4519846656.

The previous prime is 13868219899. The next prime is 13868219957. The reversal of 13868219952 is 25991286831.

13868219952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13868219957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50065638 + ... + 50065914.

Almost surely, 2^13868219952 is an apocalyptic number.

13868219952 is a gapful number since it is divisible by the number (12) 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 13868219952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578405120).

13868219952 is an abundant number, since it is smaller than the sum of its proper divisors (27288590288).

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

13868219952 is a wasteful number, since it uses less digits than its factorization.

13868219952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 13868219952 in words is "thirteen billion, eight hundred sixty-eight million, two hundred nineteen thousand, nine hundred fifty-two".