1629459909009 has 9 divisors (see below), whose sum is σ = 2353669844539. Its totient is φ = 1086304053000.

The previous prime is 1629459908959. The next prime is 1629459909029. The reversal of 1629459909009 is 9009099549261.

It is a happy number.

The square root of 1629459909009 is 1276503.

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

1629459909009 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 459 + 90 + 90 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 408125489409 + 1221334419600 = 638847^2 + 1105140^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1629459909009 - 2¹⁷ = 1629459777937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1629459909029) 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 8 ways as a sum of consecutive naturals, for example, 3616759 + ... + 4042259.

Almost surely, 2^{1629459909009} is an apocalyptic number.

1629459909009 is the 1276503-rd square number.

1629459909009 is the 638252-nd centered octagonal number.

It is an amenable number.

1629459909009 is a deficient number, since it is larger than the sum of its proper divisors (724209935530).

1629459909009 is an frugal number, since it uses more digits than its factorization.

1629459909009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851008 (or 425504 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 1629459909009 in words is "one trillion, six hundred twenty-nine billion, four hundred fifty-nine million, nine hundred nine thousand, nine".