9914113843200 has 2016 divisors, whose sum is σ = 42593073868800. Its totient is φ = 2239089868800.

The previous prime is 9914113843169. The next prime is 9914113843201. The reversal of 9914113843200 is 23483114199.

9914113843200 is a `hidden beast` number, since 99 + 14 + 113 + 8 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9914113843201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51906355105 + ... + 51906355295.

It is an arithmetic number, because the mean of its divisors is an integer number (21127516800).

Almost surely, 2^{9914113843200} is an apocalyptic number.

9914113843200 is a gapful number since it is divisible by the number (90) 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 9914113843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21296536934400).

9914113843200 is an abundant number, since it is smaller than the sum of its proper divisors (32678960025600).

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

9914113843200 is a wasteful number, since it uses less digits than its factorization.

9914113843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

Adding to 9914113843200 its reverse (23483114199), we get a palindrome (9937596957399).

The spelling of 9914113843200 in words is "nine trillion, nine hundred fourteen billion, one hundred thirteen million, eight hundred forty-three thousand, two hundred".