1598219338849 has 27 divisors (see below), whose sum is σ = 1868349903417. Its totient is φ = 1363159010304.

The previous prime is 1598219338847. The next prime is 1598219338853. The reversal of 1598219338849 is 9488339128951.

The square root of 1598219338849 is 1264207.

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 17698849 + 1598201640000 = 4207^2 + 1264200^2 .

It is not a de Polignac number, because 1598219338849 - 2¹ = 1598219338847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1598219338847) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2769877249 + ... + 2769877825.

It is an arithmetic number, because the mean of its divisors is an integer number (69198144571).

Almost surely, 2^{1598219338849} is an apocalyptic number.

1598219338849 is the 1264207-th square number.

1598219338849 is the 632104-th centered octagonal number.

It is an amenable number.

1598219338849 is a deficient number, since it is larger than the sum of its proper divisors (270130564568).

1598219338849 is an frugal number, since it uses more digits than its factorization.

1598219338849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 897 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 70.

The spelling of 1598219338849 in words is "one trillion, five hundred ninety-eight billion, two hundred nineteen million, three hundred thirty-eight thousand, eight hundred forty-nine".