13646517946464 has 768 divisors, whose sum is σ = 43988336824320. Its totient is φ = 3658188718080.

The previous prime is 13646517946441. The next prime is 13646517946487. The reversal of 13646517946464 is 46464971564631.

It is an interprime number because it is at equal distance from previous prime (13646517946441) and next prime (13646517946487).

It is a junction number, because it is equal to n+sod(n) for n = 13646517946395 and 13646517946404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5789781574 + ... + 5789783930.

It is an arithmetic number, because the mean of its divisors is an integer number (57276480240).

Almost surely, 2^{13646517946464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13646517946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21994168412160).

13646517946464 is an abundant number, since it is smaller than the sum of its proper divisors (30341818877856).

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

13646517946464 is a wasteful number, since it uses less digits than its factorization.

13646517946464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2735 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 66.

The spelling of 13646517946464 in words is "thirteen trillion, six hundred forty-six billion, five hundred seventeen million, nine hundred forty-six thousand, four hundred sixty-four".