355045564449 has 27 divisors (see below), whose sum is σ = 519313889107. Its totient is φ = 233747550816.

The previous prime is 355045564427. The next prime is 355045564541. The reversal of 355045564449 is 944465540553.

The square root of 355045564449 is 595857.

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

355045564449 is a `hidden beast` number, since 3 + 5 + 5 + 0 + 4 + 556 + 44 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7379669025 + 347665895424 = 85905^2 + 589632^2 .

It is not a de Polignac number, because 355045564449 - 2¹⁷ = 355045433377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 355045564395 and 355045564404.

It is not an unprimeable number, because it can be changed into a prime (355045564409) 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, 148367197 + ... + 148369589.

Almost surely, 2^355045564449 is an apocalyptic number.

355045564449 is the 595857-th square number.

355045564449 is the 297929-th centered octagonal number.

It is an amenable number.

355045564449 is a deficient number, since it is larger than the sum of its proper divisors (164268324658).

355045564449 is an frugal number, since it uses more digits than its factorization.

355045564449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 355045564449 in words is "three hundred fifty-five billion, forty-five million, five hundred sixty-four thousand, four hundred forty-nine".