13541435544 has 256 divisors, whose sum is σ = 44557793280. Its totient is φ = 3327713280.

The previous prime is 13541435539. The next prime is 13541435599. The reversal of 13541435544 is 44553414531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3822414 + ... + 3825954.

It is an arithmetic number, because the mean of its divisors is an integer number (174053880).

Almost surely, 2^13541435544 is an apocalyptic number.

13541435544 is a gapful number since it is divisible by the number (14) 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 13541435544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22278896640).

13541435544 is an abundant number, since it is smaller than the sum of its proper divisors (31016357736).

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

13541435544 is a wasteful number, since it uses less digits than its factorization.

13541435544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3686 counting only the distinct ones).

The product of its digits is 288000, while the sum is 39.

The spelling of 13541435544 in words is "thirteen billion, five hundred forty-one million, four hundred thirty-five thousand, five hundred forty-four".