13361948219664 has 120 divisors (see below), whose sum is σ = 40828806244512. Its totient is φ = 4045663464960.

The previous prime is 13361948219663. The next prime is 13361948219713. The reversal of 13361948219664 is 46691284916331.

It is a happy number.

13361948219664 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 1 + 9 + 482 + 1 + 96 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13361948219663) 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, 1673109 + ... + 5433524.

Almost surely, 2^{13361948219664} is an apocalyptic number.

It is an amenable number.

13361948219664 is an abundant number, since it is smaller than the sum of its proper divisors (27466858024848).

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

13361948219664 is a wasteful number, since it uses less digits than its factorization.

13361948219664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107845 (or 7107836 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 13361948219664 in words is "thirteen trillion, three hundred sixty-one billion, nine hundred forty-eight million, two hundred nineteen thousand, six hundred sixty-four".