13541466566464 has 112 divisors (see below), whose sum is σ = 29203328212480. Its totient is φ = 6206345349120.

The previous prime is 13541466566387. The next prime is 13541466566471. The reversal of 13541466566464 is 46466566414531.

13541466566464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231160282 + ... + 231218854.

Almost surely, 2^{13541466566464} 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 13541466566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14601664106240).

13541466566464 is an abundant number, since it is smaller than the sum of its proper divisors (15661861646016).

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

13541466566464 is a wasteful number, since it uses less digits than its factorization.

13541466566464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64768 (or 64758 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 61.

The spelling of 13541466566464 in words is "thirteen trillion, five hundred forty-one billion, four hundred sixty-six million, five hundred sixty-six thousand, four hundred sixty-four".