13144467780900 has 81 divisors (see below), whose sum is σ = 41200944934513. Its totient is φ = 3505162404000.

The previous prime is 13144467780869. The next prime is 13144467780907. The reversal of 13144467780900 is 908776444131.

It is a happy number.

The square root of 13144467780900 is 3625530.

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

13144467780900 is a `hidden beast` number, since 1 + 3 + 14 + 4 + 467 + 7 + 80 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4732008401124 + 8412459379776 = 2175318^2 + 2900424^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13144467780907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108705475 + ... + 108826325.

Almost surely, 2^{13144467780900} is an apocalyptic number.

13144467780900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13144467780900 is the 3625530-th square number.

It is an amenable number.

13144467780900 is an abundant number, since it is smaller than the sum of its proper divisors (28056477153613).

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

13144467780900 is an frugal number, since it uses more digits than its factorization.

13144467780900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241722 (or 120861 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13144467780900 in words is "thirteen trillion, one hundred forty-four billion, four hundred sixty-seven million, seven hundred eighty thousand, nine hundred".