336134412441 has 63 divisors (see below), whose sum is σ = 511232100141. Its totient is φ = 220906665504.

The previous prime is 336134412401. The next prime is 336134412451. The reversal of 336134412441 is 144214431633.

The square root of 336134412441 is 579771.

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

336134412441 is a `hidden beast` number, since 33 + 613 + 4 + 4 + 1 + 2 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 188143400025 + 147991012416 = 433755^2 + 384696^2 .

It is a de Polignac number, because none of the positive numbers 2^k-336134412441 is a prime.

It is a super-2 number, since 2×336134412441² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336134412396 and 336134412405.

It is not an unprimeable number, because it can be changed into a prime (336134412401) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1706265955 + ... + 1706266151.

Almost surely, 2^336134412441 is an apocalyptic number.

336134412441 is the 579771-st square number.

336134412441 is the 289886-th centered octagonal number.

It is an amenable number.

336134412441 is a deficient number, since it is larger than the sum of its proper divisors (175097687700).

336134412441 is an frugal number, since it uses more digits than its factorization.

336134412441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 309 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Multiplying 336134412441 by its sum of digits (36), we get a square (12100838847876 = 3478626²).

The spelling of 336134412441 in words is "three hundred thirty-six billion, one hundred thirty-four million, four hundred twelve thousand, four hundred forty-one".