13752644843106 has 192 divisors, whose sum is σ = 34436118487680. Its totient is φ = 3929003366400.

The previous prime is 13752644843101. The next prime is 13752644843131. The reversal of 13752644843106 is 60134844625731.

13752644843106 is a `hidden beast` number, since 1 + 3 + 7 + 52 + 6 + 4 + 484 + 3 + 106 = 666.

It is a super-2 number, since 2×13752644843106² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13752644843101) 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, 231422265 + ... + 231481683.

It is an arithmetic number, because the mean of its divisors is an integer number (179354783790).

Almost surely, 2^{13752644843106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13752644843106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218059243840).

13752644843106 is an abundant number, since it is smaller than the sum of its proper divisors (20683473644574).

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

13752644843106 is a wasteful number, since it uses less digits than its factorization.

13752644843106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60241 (or 60238 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 13752644843106 in words is "thirteen trillion, seven hundred fifty-two billion, six hundred forty-four million, eight hundred forty-three thousand, one hundred six".