13581804622500 has 405 divisors, whose sum is σ = 43591084640103. Its totient is φ = 3564470520000.

The previous prime is 13581804622489. The next prime is 13581804622501. The reversal of 13581804622500 is 522640818531.

The square root of 13581804622500 is 3685350.

It is a perfect power (a square), and thus also a powerful number.

13581804622500 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 1 + 80 + 4 + 62 + 2 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1064813482404 + 12516991140096 = 1031898^2 + 3537936^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13581804622501) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 43671397345 + ... + 43671397655.

Almost surely, 2^{13581804622500} is an apocalyptic number.

13581804622500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13581804622500 is the 3685350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13581804622500

13581804622500 is an abundant number, since it is smaller than the sum of its proper divisors (30009280017603).

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

13581804622500 is an frugal number, since it uses more digits than its factorization.

13581804622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 13581804622500 in words is "thirteen trillion, five hundred eighty-one billion, eight hundred four million, six hundred twenty-two thousand, five hundred".