13621144460 has 288 divisors, whose sum is σ = 38775905280. Its totient is φ = 3962649600.

The previous prime is 13621144423. The next prime is 13621144469. The reversal of 13621144460 is 6444112631.

13621144460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13621144469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14951405 + ... + 14952315.

It is an arithmetic number, because the mean of its divisors is an integer number (134638560).

Almost surely, 2^13621144460 is an apocalyptic number.

13621144460 is a gapful number since it is divisible by the number (10) 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 13621144460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19387952640).

13621144460 is an abundant number, since it is smaller than the sum of its proper divisors (25154760820).

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

13621144460 is a wasteful number, since it uses less digits than its factorization.

13621144460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 13621144460 in words is "thirteen billion, six hundred twenty-one million, one hundred forty-four thousand, four hundred sixty".