13353561144 has 288 divisors, whose sum is σ = 46198563840. Its totient is φ = 3445545600.

The previous prime is 13353561131. The next prime is 13353561167. The reversal of 13353561144 is 44116535331.

13353561144 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 35 + 611 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13353561099 and 13353561108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6324649 + ... + 6326759.

It is an arithmetic number, because the mean of its divisors is an integer number (160411680).

Almost surely, 2^13353561144 is an apocalyptic number.

13353561144 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 13353561144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23099281920).

13353561144 is an abundant number, since it is smaller than the sum of its proper divisors (32845002696).

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

13353561144 is a wasteful number, since it uses less digits than its factorization.

13353561144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2297 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 13353561144 in words is "thirteen billion, three hundred fifty-three million, five hundred sixty-one thousand, one hundred forty-four".