13866564096 has 480 divisors, whose sum is σ = 52116039360. Its totient is φ = 3599769600.

The previous prime is 13866564083. The next prime is 13866564157. The reversal of 13866564096 is 69046566831.

13866564096 is a `hidden beast` number, since 13 + 8 + 66 + 564 + 0 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7450206 + ... + 7452066.

It is an arithmetic number, because the mean of its divisors is an integer number (108575082).

Almost surely, 2^13866564096 is an apocalyptic number.

13866564096 is a gapful number since it is divisible by the number (16) 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 13866564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26058019680).

13866564096 is an abundant number, since it is smaller than the sum of its proper divisors (38249475264).

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

13866564096 is a wasteful number, since it uses less digits than its factorization.

13866564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13866564096 in words is "thirteen billion, eight hundred sixty-six million, five hundred sixty-four thousand, ninety-six".