13644660315500 has 192 divisors, whose sum is σ = 30491197726080. Its totient is φ = 5332770432000.

The previous prime is 13644660315497. The next prime is 13644660315553. The reversal of 13644660315500 is 551306644631.

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, 2125002290 + ... + 2125008710.

It is an arithmetic number, because the mean of its divisors is an integer number (158808321490).

Almost surely, 2^{13644660315500} is an apocalyptic number.

13644660315500 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 13644660315500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245598863040).

13644660315500 is an abundant number, since it is smaller than the sum of its proper divisors (16846537410580).

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

13644660315500 is a wasteful number, since it uses less digits than its factorization.

13644660315500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 13644660315500 in words is "thirteen trillion, six hundred forty-four billion, six hundred sixty million, three hundred fifteen thousand, five hundred".