13853247744 has 288 divisors, whose sum is σ = 43514634240. Its totient is φ = 3830685696.

The previous prime is 13853247743. The next prime is 13853247761. The reversal of 13853247744 is 44774235831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13853247693 and 13853247702.

It is not an unprimeable number, because it can be changed into a prime (13853247743) 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, 27540997 + ... + 27541499.

It is an arithmetic number, because the mean of its divisors is an integer number (151092480).

Almost surely, 2^13853247744 is an apocalyptic number.

13853247744 is a gapful number since it is divisible by the number (14) 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 13853247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757317120).

13853247744 is an abundant number, since it is smaller than the sum of its proper divisors (29661386496).

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

13853247744 is a wasteful number, since it uses less digits than its factorization.

13853247744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The spelling of 13853247744 in words is "thirteen billion, eight hundred fifty-three million, two hundred forty-seven thousand, seven hundred forty-four".