13842663700320 has 2304 divisors, whose sum is σ = 63288269291520. Its totient is φ = 2778756710400.

The previous prime is 13842663700309. The next prime is 13842663700331. The reversal of 13842663700320 is 2300736624831.

13842663700320 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 2 + 6 + 637 + 0 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13842663700309) and next prime (13842663700331).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6690508246 + ... + 6690510314.

It is an arithmetic number, because the mean of its divisors is an integer number (27468866880).

Almost surely, 2^{13842663700320} is an apocalyptic number.

13842663700320 is a gapful number since it is divisible by the number (10) 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 13842663700320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31644134645760).

13842663700320 is an abundant number, since it is smaller than the sum of its proper divisors (49445605591200).

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

13842663700320 is a wasteful number, since it uses less digits than its factorization.

13842663700320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 13842663700320 in words is "thirteen trillion, eight hundred forty-two billion, six hundred sixty-three million, seven hundred thousand, three hundred twenty".