13644364500 has 288 divisors, whose sum is σ = 46649191680. Its totient is φ = 3337286400.

The previous prime is 13644364471. The next prime is 13644364501. The reversal of 13644364500 is 546344631.

13644364500 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 4 + 3 + 645 + 0 + 0 = 666.

13644364500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13644364501) 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, 10470849 + ... + 10472151.

It is an arithmetic number, because the mean of its divisors is an integer number (161976360).

Almost surely, 2^13644364500 is an apocalyptic number.

13644364500 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 13644364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23324595840).

13644364500 is an abundant number, since it is smaller than the sum of its proper divisors (33004827180).

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

13644364500 is a wasteful number, since it uses less digits than its factorization.

13644364500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13644364500 in words is "thirteen billion, six hundred forty-four million, three hundred sixty-four thousand, five hundred".