13434123141544 has 64 divisors (see below), whose sum is σ = 29465763402240. Its totient is φ = 5621890760640.

The previous prime is 13434123141539. The next prime is 13434123141553. The reversal of 13434123141544 is 44514132143431.

It is a junction number, because it is equal to n+sod(n) for n = 13434123141497 and 13434123141506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7162339 + ... + 8841229.

It is an arithmetic number, because the mean of its divisors is an integer number (460402553160).

Almost surely, 2^{13434123141544} is an apocalyptic number.

13434123141544 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 13434123141544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732881701120).

13434123141544 is an abundant number, since it is smaller than the sum of its proper divisors (16031640260696).

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

13434123141544 is a wasteful number, since it uses less digits than its factorization.

13434123141544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682270 (or 1682266 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

Adding to 13434123141544 its reverse (44514132143431), we get a palindrome (57948255284975).

The spelling of 13434123141544 in words is "thirteen trillion, four hundred thirty-four billion, one hundred twenty-three million, one hundred forty-one thousand, five hundred forty-four".