335136839268049 has 135 divisors (see below), whose sum is σ = 438902568083889. Its totient is φ = 255761309643840.

The previous prime is 335136839268037. The next prime is 335136839268053. The reversal of 335136839268049 is 940862938631533.

The square root of 335136839268049 is 18306743.

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

It can be written as a sum of positive squares in 4 ways, for example, as 42974121366225 + 292162717901824 = 6555465^2 + 17092768^2 .

It is not a de Polignac number, because 335136839268049 - 2⁵ = 335136839268017 is a prime.

It is a super-3 number, since 3×335136839268049³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (335136839268059) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 338180462944 + ... + 338180463934.

Almost surely, 2^{335136839268049} is an apocalyptic number.

335136839268049 is the 18306743-rd square number.

335136839268049 is the 9153372-nd centered octagonal number.

It is an amenable number.

335136839268049 is a deficient number, since it is larger than the sum of its proper divisors (103765728815840).

335136839268049 is an frugal number, since it uses more digits than its factorization.

335136839268049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 70.

The spelling of 335136839268049 in words is "three hundred thirty-five trillion, one hundred thirty-six billion, eight hundred thirty-nine million, two hundred sixty-eight thousand, forty-nine".