13867124004288 has 224 divisors, whose sum is σ = 41387694232320. Its totient is φ = 4552013030400.

The previous prime is 13867124004281. The next prime is 13867124004299. The reversal of 13867124004288 is 88240042176831.

13867124004288 is a `hidden beast` number, since 1 + 38 + 67 + 124 + 0 + 0 + 428 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13867124004281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428470795 + ... + 428503157.

Almost surely, 2^{13867124004288} is an apocalyptic number.

13867124004288 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 13867124004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20693847116160).

13867124004288 is an abundant number, since it is smaller than the sum of its proper divisors (27520570228032).

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

13867124004288 is a wasteful number, since it uses less digits than its factorization.

13867124004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36152 (or 36136 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 13867124004288 in words is "thirteen trillion, eight hundred sixty-seven billion, one hundred twenty-four million, four thousand, two hundred eighty-eight".