129219442405729 has 27 divisors (see below), whose sum is σ = 143814035868363. Its totient is φ = 116050804676352.

The previous prime is 129219442405661. The next prime is 129219442405829. The reversal of 129219442405729 is 927504244912921.

It is a happy number.

The square root of 129219442405729 is 11367473.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7056115632225 + 122163326773504 = 2656335^2 + 11052752^2 .

It is not a de Polignac number, because 129219442405729 - 2¹³ = 129219442397537 is a prime.

It is a super-3 number, since 3×129219442405729³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129219442405829) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5467742697 + ... + 5467766329.

Almost surely, 2^{129219442405729} is an apocalyptic number.

129219442405729 is the 11367473-rd square number.

129219442405729 is the 5683737-th centered octagonal number.

It is an amenable number.

129219442405729 is a deficient number, since it is larger than the sum of its proper divisors (14594593462634).

129219442405729 is an frugal number, since it uses more digits than its factorization.

129219442405729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47366 (or 23683 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 129219442405729 in words is "one hundred twenty-nine trillion, two hundred nineteen billion, four hundred forty-two million, four hundred five thousand, seven hundred twenty-nine".