214551460809 has 135 divisors (see below), whose sum is σ = 380718706823. Its totient is φ = 116414375616.

The previous prime is 214551460729. The next prime is 214551460813. The reversal of 214551460809 is 908064155412.

The square root of 214551460809 is 463197.

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

214551460809 is a `hidden beast` number, since 2 + 14 + 551 + 4 + 6 + 0 + 80 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126028550025 + 88522910784 = 355005^2 + 297528^2 .

It is not a de Polignac number, because 214551460809 - 2⁷ = 214551460681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214551460829) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1566068989 + ... + 1566069125.

Almost surely, 2^214551460809 is an apocalyptic number.

214551460809 is the 463197-th square number.

214551460809 is the 231599-th centered octagonal number.

It is an amenable number.

214551460809 is a deficient number, since it is larger than the sum of its proper divisors (166167246014).

214551460809 is an frugal number, since it uses more digits than its factorization.

214551460809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 214551460809 in words is "two hundred fourteen billion, five hundred fifty-one million, four hundred sixty thousand, eight hundred nine".