13328148601872 has 120 divisors (see below), whose sum is σ = 40177606723800. Its totient is φ = 4100147195904.

The previous prime is 13328148601861. The next prime is 13328148601877. The reversal of 13328148601872 is 27810684182331.

13328148601872 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 81 + 486 + 0 + 1 + 87 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 333825106176 + 12994323495696 = 577776^2 + 3604764^2 .

It is not an unprimeable number, because it can be changed into a prime (13328148601877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8666154 + ... + 10087542.

It is an arithmetic number, because the mean of its divisors is an integer number (334813389365).

Almost surely, 2^{13328148601872} is an apocalyptic number.

13328148601872 is a gapful number since it is divisible by the number (12) 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 13328148601872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088803361900).

13328148601872 is an abundant number, since it is smaller than the sum of its proper divisors (26849458121928).

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

13328148601872 is a wasteful number, since it uses less digits than its factorization.

13328148601872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426425 (or 1426416 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13328148601872 in words is "thirteen trillion, three hundred twenty-eight billion, one hundred forty-eight million, six hundred one thousand, eight hundred seventy-two".