1198849806400 has 189 divisors, whose sum is σ = 3051604089693. Its totient is φ = 463545331200.

The previous prime is 1198849806379. The next prime is 1198849806419. The reversal of 1198849806400 is 46089488911.

The square root of 1198849806400 is 1094920.

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., 431585930304 + 767263876096 = 656952^2 + 875936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1357700359 + ... + 1357701241.

Almost surely, 2^{1198849806400} is an apocalyptic number.

1198849806400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1198849806400 is the 1094920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1198849806400

1198849806400 is an abundant number, since it is smaller than the sum of its proper divisors (1852754283293).

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

1198849806400 is an frugal number, since it uses more digits than its factorization.

1198849806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 58.

The spelling of 1198849806400 in words is "one trillion, one hundred ninety-eight billion, eight hundred forty-nine million, eight hundred six thousand, four hundred".