355105152649 has 27 divisors (see below), whose sum is σ = 402169177557. Its totient is φ = 313380340416.

The previous prime is 355105152601. The next prime is 355105152667. The reversal of 355105152649 is 946251501553.

The square root of 355105152649 is 595907.

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 7877805049 + 347227347600 = 88757^2 + 589260^2 .

It is not a de Polignac number, because 355105152649 - 2¹¹ = 355105150601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 355105152599 and 355105152608.

It is not an unprimeable number, because it can be changed into a prime (355105152949) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178175197 + ... + 178177189.

Almost surely, 2^355105152649 is an apocalyptic number.

355105152649 is the 595907-th square number.

355105152649 is the 297954-th centered octagonal number.

It is an amenable number.

355105152649 is a deficient number, since it is larger than the sum of its proper divisors (47064024908).

355105152649 is an frugal number, since it uses more digits than its factorization.

355105152649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 355105152649 in words is "three hundred fifty-five billion, one hundred five million, one hundred fifty-two thousand, six hundred forty-nine".