349596618435009 has 81 divisors (see below), whose sum is σ = 557602706821251. Its totient is φ = 210907833840000.

The previous prime is 349596618434989. The next prime is 349596618435023. The reversal of 349596618435009 is 900534816695943.

The square root of 349596618435009 is 18697503.

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

349596618435009 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 9 + 66 + 18 + 43 + 500 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 262921263233409 + 86675355201600 = 16214847^2 + 9309960^2 .

It is a de Polignac number, because none of the positive numbers 2^k-349596618435009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349596618435049) 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, 148701240184 + ... + 148701242534.

Almost surely, 2^{349596618435009} is an apocalyptic number.

349596618435009 is the 18697503-rd square number.

349596618435009 is the 9348752-nd centered octagonal number.

It is an amenable number.

349596618435009 is a deficient number, since it is larger than the sum of its proper divisors (208006088386242).

349596618435009 is an frugal number, since it uses more digits than its factorization.

349596618435009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 349596618435009 in words is "three hundred forty-nine trillion, five hundred ninety-six billion, six hundred eighteen million, four hundred thirty-five thousand, nine".