13869563904 has 300 divisors, whose sum is σ = 47387373264. Its totient is φ = 3960078336.

The previous prime is 13869563879. The next prime is 13869563909. The reversal of 13869563904 is 40936596831.

13869563904 is a `hidden beast` number, since 13 + 8 + 69 + 563 + 9 + 0 + 4 = 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 (13869563909) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 9288982 + ... + 9290474.

Almost surely, 2^13869563904 is an apocalyptic number.

13869563904 is a gapful number since it is divisible by the number (14) 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 13869563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23693686632).

13869563904 is an abundant number, since it is smaller than the sum of its proper divisors (33517809360).

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

13869563904 is an frugal number, since it uses more digits than its factorization.

13869563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13869563904 in words is "thirteen billion, eight hundred sixty-nine million, five hundred sixty-three thousand, nine hundred four".