13413936645312 has 168 divisors, whose sum is σ = 41289111981936. Its totient is φ = 3832217690112.

The previous prime is 13413936645259. The next prime is 13413936645337. The reversal of 13413936645312 is 21354663931431.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119547828 + ... + 119659980.

It is an arithmetic number, because the mean of its divisors is an integer number (245768523702).

Almost surely, 2^{13413936645312} is an apocalyptic number.

13413936645312 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 13413936645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644555990968).

13413936645312 is an abundant number, since it is smaller than the sum of its proper divisors (27875175336624).

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

13413936645312 is a wasteful number, since it uses less digits than its factorization.

13413936645312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124895 (or 124878 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 51.

The spelling of 13413936645312 in words is "thirteen trillion, four hundred thirteen billion, nine hundred thirty-six million, six hundred forty-five thousand, three hundred twelve".