13823491749120 has 864 divisors, whose sum is σ = 50577649668000. Its totient is φ = 3480435818496.

The previous prime is 13823491749103. The next prime is 13823491749121. The reversal of 13823491749120 is 2194719432831.

13823491749120 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 349 + 174 + 9 + 120 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 45379224576 + 13778112524544 = 213024^2 + 3711888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823491749121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6179476642 + ... + 6179478878.

It is an arithmetic number, because the mean of its divisors is an integer number (58538946375).

Almost surely, 2^{13823491749120} is an apocalyptic number.

13823491749120 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 13823491749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25288824834000).

13823491749120 is an abundant number, since it is smaller than the sum of its proper divisors (36754157918880).

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

13823491749120 is a wasteful number, since it uses less digits than its factorization.

13823491749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13823491749120 in words is "thirteen trillion, eight hundred twenty-three billion, four hundred ninety-one million, seven hundred forty-nine thousand, one hundred twenty".