30144946129 has 9 divisors (see below), whose sum is σ = 31225486747. Its totient is φ = 29100603784.

The previous prime is 30144946103. The next prime is 30144946133. The reversal of 30144946129 is 92164944103.

The square root of 30144946129 is 173623.

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

It can be written as a sum of positive squares in only one way, i.e., 15807278529 + 14337667600 = 125727^2 + 119740^2 .

It is not a de Polignac number, because 30144946129 - 2⁷ = 30144946001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30144946729) 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, 5032074 + ... + 5038060.

Almost surely, 2^30144946129 is an apocalyptic number.

30144946129 is the 173623-rd square number.

30144946129 is the 86812-nd centered octagonal number.

It is an amenable number.

30144946129 is a deficient number, since it is larger than the sum of its proper divisors (1080540618).

30144946129 is an frugal number, since it uses more digits than its factorization.

30144946129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 30144946129 in words is "thirty billion, one hundred forty-four million, nine hundred forty-six thousand, one hundred twenty-nine".