1318225459600 has 405 divisors, whose sum is σ = 3774759812577. Its totient is φ = 441106202880.

The previous prime is 1318225459589. The next prime is 1318225459643. The reversal of 1318225459600 is 69545228131.

The square root of 1318225459600 is 1148140.

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., 474561165456 + 843664294144 = 688884^2 + 918512^2 .

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 9483636331 + ... + 9483636469.

Almost surely, 2^{1318225459600} is an apocalyptic number.

1318225459600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1318225459600 is the 1148140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318225459600

1318225459600 is an abundant number, since it is smaller than the sum of its proper divisors (2456534352977).

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

1318225459600 is an equidigital number, since it uses as much as digits as its factorization.

1318225459600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 1318225459600 in words is "one trillion, three hundred eighteen billion, two hundred twenty-five million, four hundred fifty-nine thousand, six hundred".