354205084793569 has 9 divisors (see below), whose sum is σ = 357548383116561. Its totient is φ = 350892761942580.

The previous prime is 354205084793557. The next prime is 354205084793591. The reversal of 354205084793569 is 965397480502453.

It is a happy number.

The square root of 354205084793569 is 18820337.

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

It is not a de Polignac number, because 354205084793569 - 2¹¹ = 354205084791521 is a prime.

It is a super-3 number, since 3×354205084793569³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354205084793498 and 354205084793507.

It is not an unprimeable number, because it can be changed into a prime (354205084793069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2013688114 + ... + 2013864004.

Almost surely, 2^{354205084793569} is an apocalyptic number.

354205084793569 is the 18820337-th square number.

354205084793569 is the 9410169-th centered octagonal number.

It is an amenable number.

354205084793569 is a deficient number, since it is larger than the sum of its proper divisors (3343298322992).

354205084793569 is an frugal number, since it uses more digits than its factorization.

354205084793569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351996 (or 175998 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 70.

The spelling of 354205084793569 in words is "three hundred fifty-four trillion, two hundred five billion, eighty-four million, seven hundred ninety-three thousand, five hundred sixty-nine".