13541664144 has 160 divisors (see below), whose sum is σ = 36950135040. Its totient is φ = 4267468800.

The previous prime is 13541664137. The next prime is 13541664193. The reversal of 13541664144 is 44146614531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17888214 + ... + 17888970.

It is an arithmetic number, because the mean of its divisors is an integer number (230938344).

Almost surely, 2^13541664144 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 13541664144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18475067520).

13541664144 is an abundant number, since it is smaller than the sum of its proper divisors (23408470896).

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

13541664144 is a wasteful number, since it uses less digits than its factorization.

13541664144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The spelling of 13541664144 in words is "thirteen billion, five hundred forty-one million, six hundred sixty-four thousand, one hundred forty-four".