13473464324320 has 2304 divisors, whose sum is σ = 50195492121600. Its totient is φ = 3334640762880.

The previous prime is 13473464324267. The next prime is 13473464324357. The reversal of 13473464324320 is 2342346437431.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 10501530399 + ... + 10501531681.

It is an arithmetic number, because the mean of its divisors is an integer number (21786237900).

Almost surely, 2^{13473464324320} is an apocalyptic number.

13473464324320 is a gapful number since it is divisible by the number (10) 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 13473464324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25097746060800).

13473464324320 is an abundant number, since it is smaller than the sum of its proper divisors (36722027797280).

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

13473464324320 is a wasteful number, since it uses less digits than its factorization.

13473464324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 46.

Subtracting from 13473464324320 its reverse (2342346437431), we obtain a square (11131117886889 = 3336333²).

The spelling of 13473464324320 in words is "thirteen trillion, four hundred seventy-three billion, four hundred sixty-four million, three hundred twenty-four thousand, three hundred twenty".