219114801409 has 45 divisors (see below), whose sum is σ = 263134704329. Its totient is φ = 182445486720.

The previous prime is 219114801391. The next prime is 219114801427. The reversal of 219114801409 is 904108411912.

The square root of 219114801409 is 468097.

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

It is an interprime number because it is at equal distance from previous prime (219114801391) and next prime (219114801427).

It can be written as a sum of positive squares in 4 ways, for example, as 130591890625 + 88522910784 = 361375^2 + 297528^2 .

It is not a de Polignac number, because 219114801409 - 2⁵ = 219114801377 is a prime.

It is a super-2 number, since 2×219114801409² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (219114801469) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 940406757 + ... + 940406989.

Almost surely, 2^219114801409 is an apocalyptic number.

219114801409 is the 468097-th square number.

219114801409 is the 234049-th centered octagonal number.

It is an amenable number.

219114801409 is a deficient number, since it is larger than the sum of its proper divisors (44019902920).

219114801409 is an frugal number, since it uses more digits than its factorization.

219114801409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The spelling of 219114801409 in words is "two hundred nineteen billion, one hundred fourteen million, eight hundred one thousand, four hundred nine".