1386163000224 has 288 divisors, whose sum is σ = 4129345059840. Its totient is φ = 440617881600.

The previous prime is 1386163000217. The next prime is 1386163000231. The reversal of 1386163000224 is 4220003616831.

1386163000224 is a `hidden beast` number, since 1 + 3 + 8 + 616 + 30 + 0 + 0 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1386163000217) and next prime (1386163000231).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 683174442 + ... + 683176470.

It is an arithmetic number, because the mean of its divisors is an integer number (14338003680).

Almost surely, 2^{1386163000224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386163000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064672529920).

1386163000224 is an abundant number, since it is smaller than the sum of its proper divisors (2743182059616).

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

1386163000224 is a wasteful number, since it uses less digits than its factorization.

1386163000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1386163000224 in words is "one trillion, three hundred eighty-six billion, one hundred sixty-three million, two hundred twenty-four", and thus it is an aban number.