1198718419600 has 135 divisors (see below), whose sum is σ = 3119235075579. Its totient is φ = 442498617600.

The previous prime is 1198718419589. The next prime is 1198718419601. The reversal of 1198718419600 is 69148178911.

The square root of 1198718419600 is 1094860.

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

It can be written as a sum of positive squares in 4 ways, for example, as 308971445904 + 889746973696 = 555852^2 + 943264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1198718419601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 284661495 + ... + 284665705.

Almost surely, 2^{1198718419600} is an apocalyptic number.

1198718419600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1198718419600 is the 1094860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1198718419600

1198718419600 is an abundant number, since it is smaller than the sum of its proper divisors (1920516655979).

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

1198718419600 is an frugal number, since it uses more digits than its factorization.

1198718419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 55.

The spelling of 1198718419600 in words is "one trillion, one hundred ninety-eight billion, seven hundred eighteen million, four hundred nineteen thousand, six hundred".