342958983129 has 81 divisors (see below), whose sum is σ = 585309322143. Its totient is φ = 192947698944.

The previous prime is 342958983109. The next prime is 342958983173. The reversal of 342958983129 is 921389859243.

The square root of 342958983129 is 585627.

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

342958983129 is a `hidden beast` number, since 3 + 4 + 29 + 589 + 8 + 3 + 1 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139334225625 + 203624757504 = 373275^2 + 451248^2 .

It is a de Polignac number, because none of the positive numbers 2^k-342958983129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (342958983109) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 971555017 + ... + 971555369.

Almost surely, 2^342958983129 is an apocalyptic number.

342958983129 is the 585627-th square number.

342958983129 is the 292814-th centered octagonal number.

It is an amenable number.

342958983129 is a deficient number, since it is larger than the sum of its proper divisors (242350339014).

342958983129 is an frugal number, since it uses more digits than its factorization.

342958983129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 442 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 342958983129 in words is "three hundred forty-two billion, nine hundred fifty-eight million, nine hundred eighty-three thousand, one hundred twenty-nine".