13181764648900 has 27 divisors (see below), whose sum is σ = 28604508073869. Its totient is φ = 5272691336880.

The previous prime is 13181764648867. The next prime is 13181764648903. The reversal of 13181764648900 is 984646718131.

The square root of 13181764648900 is 3630670.

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

It can be written as a sum of positive squares in only one way, i.e., 4745435273604 + 8436329375296 = 2178402^2 + 2904536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13181764648903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36125167 + ... + 36488233.

Almost surely, 2^{13181764648900} is an apocalyptic number.

13181764648900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13181764648900 is the 3630670-th square number.

It is an amenable number.

13181764648900 is an abundant number, since it is smaller than the sum of its proper divisors (15422743424969).

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

13181764648900 is an frugal number, since it uses more digits than its factorization.

13181764648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726148 (or 363074 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 13181764648900 in words is "thirteen trillion, one hundred eighty-one billion, seven hundred sixty-four million, six hundred forty-eight thousand, nine hundred".