13353441353364 has 96 divisors (see below), whose sum is σ = 37159633760256. Its totient is φ = 3649168512000.

The previous prime is 13353441353363. The next prime is 13353441353423. The reversal of 13353441353364 is 46335314435331.

It is a happy number.

It is a super-3 number, since 3×13353441353364³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353441353363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33373489 + ... + 33771239.

It is an arithmetic number, because the mean of its divisors is an integer number (387079518336).

Almost surely, 2^{13353441353364} is an apocalyptic number.

13353441353364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13353441353364 is an abundant number, since it is smaller than the sum of its proper divisors (23806192406892).

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

13353441353364 is a wasteful number, since it uses less digits than its factorization.

13353441353364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415165 (or 415163 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 48.

Adding to 13353441353364 its reverse (46335314435331), we get a palindrome (59688755788695).

The spelling of 13353441353364 in words is "thirteen trillion, three hundred fifty-three billion, four hundred forty-one million, three hundred fifty-three thousand, three hundred sixty-four".