355608276241 has 27 divisors (see below), whose sum is σ = 372339392187. Its totient is φ = 339621292080.

The previous prime is 355608276211. The next prime is 355608276251. The reversal of 355608276241 is 142672806553.

The square root of 355608276241 is 596329.

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

It can be written as a sum of positive squares in only one way, i.e., 318203169025 + 37405107216 = 564095^2 + 193404^2 .

It is a de Polignac number, because none of the positive numbers 2^k-355608276241 is a prime.

It is a super-2 number, since 2×355608276241² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355608276211) 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, 1566556170 + ... + 1566556396.

Almost surely, 2^355608276241 is an apocalyptic number.

355608276241 is the 596329-th square number.

355608276241 is the 298165-th centered octagonal number.

It is an amenable number.

355608276241 is a deficient number, since it is larger than the sum of its proper divisors (16731115946).

355608276241 is an frugal number, since it uses more digits than its factorization.

355608276241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 355608276241 by its sum of digits (49), we get a square (17424805535809 = 4174303²).

The spelling of 355608276241 in words is "three hundred fifty-five billion, six hundred eight million, two hundred seventy-six thousand, two hundred forty-one".