353345836041 has 27 divisors (see below), whose sum is σ = 561036610407. Its totient is φ = 214137102960.

The previous prime is 353345836003. The next prime is 353345836049. The reversal of 353345836041 is 140638543353.

It is a happy number.

The square root of 353345836041 is 594429.

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

353345836041 is a `hidden beast` number, since 3 + 5 + 3 + 3 + 4 + 583 + 60 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328380572025 + 24965264016 = 573045^2 + 158004^2 .

It is not a de Polignac number, because 353345836041 - 2²³ = 353337447433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (353345836049) 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, 19607151 + ... + 19625163.

Almost surely, 2^353345836041 is an apocalyptic number.

353345836041 is the 594429-th square number.

353345836041 is the 297215-th centered octagonal number.

It is an amenable number.

353345836041 is a deficient number, since it is larger than the sum of its proper divisors (207690774366).

353345836041 is an frugal number, since it uses more digits than its factorization.

353345836041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36054 (or 18027 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 353345836041 in words is "three hundred fifty-three billion, three hundred forty-five million, eight hundred thirty-six thousand, forty-one".