13442324031144 has 96 divisors (see below), whose sum is σ = 36676436397120. Its totient is φ = 4447534272768.

The previous prime is 13442324031131. The next prime is 13442324031161. The reversal of 13442324031144 is 44113042324431.

13442324031144 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 232 + 403 + 1 + 14 + 4 = 666.

13442324031144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13442324031099 and 13442324031108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86755389 + ... + 86910195.

It is an arithmetic number, because the mean of its divisors is an integer number (382046212470).

Almost surely, 2^{13442324031144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442324031144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338218198560).

13442324031144 is an abundant number, since it is smaller than the sum of its proper divisors (23234112365976).

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

13442324031144 is a wasteful number, since it uses less digits than its factorization.

13442324031144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163759 (or 163752 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13442324031144 its reverse (44113042324431), we get a palindrome (57555366355575).

The spelling of 13442324031144 in words is "thirteen trillion, four hundred forty-two billion, three hundred twenty-four million, thirty-one thousand, one hundred forty-four".