13180142448 has 200 divisors, whose sum is σ = 42239260800. Its totient is φ = 3934085760.

The previous prime is 13180142447. The next prime is 13180142501. The reversal of 13180142448 is 84424108131.

It is a happy number.

13180142448 is a `hidden beast` number, since 13 + 180 + 1 + 424 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13180142447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 948253 + ... + 962051.

It is an arithmetic number, because the mean of its divisors is an integer number (211196304).

Almost surely, 2^13180142448 is an apocalyptic number.

13180142448 is a gapful number since it is divisible by the number (18) 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 13180142448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21119630400).

13180142448 is an abundant number, since it is smaller than the sum of its proper divisors (29059118352).

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

13180142448 is a wasteful number, since it uses less digits than its factorization.

13180142448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13897 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 13180142448 in words is "thirteen billion, one hundred eighty million, one hundred forty-two thousand, four hundred forty-eight".