13413628348470 has 192 divisors, whose sum is σ = 40319582284800. Its totient is φ = 3030539616000.

The previous prime is 13413628348457. The next prime is 13413628348507. The reversal of 13413628348470 is 7484382631431.

13413628348470 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 3 + 628 + 3 + 4 + 8 + 4 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 37938405 + ... + 38290335.

It is an arithmetic number, because the mean of its divisors is an integer number (209997824400).

Almost surely, 2^{13413628348470} is an apocalyptic number.

13413628348470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413628348470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20159791142400).

13413628348470 is an abundant number, since it is smaller than the sum of its proper divisors (26905953936330).

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

13413628348470 is a wasteful number, since it uses less digits than its factorization.

13413628348470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352651 (or 352648 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 13413628348470 in words is "thirteen trillion, four hundred thirteen billion, six hundred twenty-eight million, three hundred forty-eight thousand, four hundred seventy".