13134332451744 has 576 divisors, whose sum is σ = 45658628467200. Its totient is φ = 3660914589696.

The previous prime is 13134332451727. The next prime is 13134332451749. The reversal of 13134332451744 is 44715423343131.

13134332451744 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 433 + 2 + 45 + 174 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13134332451744.

It is not an unprimeable number, because it can be changed into a prime (13134332451749) 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, 622794352 + ... + 622815440.

It is an arithmetic number, because the mean of its divisors is an integer number (79268452200).

Almost surely, 2^{13134332451744} is an apocalyptic number.

13134332451744 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 13134332451744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22829314233600).

13134332451744 is an abundant number, since it is smaller than the sum of its proper divisors (32524296015456).

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

13134332451744 is a wasteful number, since it uses less digits than its factorization.

13134332451744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21482 (or 21461 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

Adding to 13134332451744 its reverse (44715423343131), we get a palindrome (57849755794875).

The spelling of 13134332451744 in words is "thirteen trillion, one hundred thirty-four billion, three hundred thirty-two million, four hundred fifty-one thousand, seven hundred forty-four".