354835853761 has 9 divisors (see below), whose sum is σ = 356012632521. Its totient is φ = 353662957872.

The previous prime is 354835853759. The next prime is 354835853783. The reversal of 354835853761 is 167358538453.

The square root of 354835853761 is 595681.

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 26644359361 + 328191494400 = 163231^2 + 572880^2 .

It is not a de Polignac number, because 354835853761 - 2¹ = 354835853759 is a prime.

It is a super-2 number, since 2×354835853761² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354835853696 and 354835853705.

It is not an unprimeable number, because it can be changed into a prime (354835853711) 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, 222188215 + ... + 222189811.

It is an arithmetic number, because the mean of its divisors is an integer number (39556959169).

Almost surely, 2^354835853761 is an apocalyptic number.

354835853761 is the 595681-st square number.

354835853761 is the 297841-st centered octagonal number.

It is an amenable number.

354835853761 is a deficient number, since it is larger than the sum of its proper divisors (1176778760).

354835853761 is an frugal number, since it uses more digits than its factorization.

354835853761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 1970 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 58.

The spelling of 354835853761 in words is "three hundred fifty-four billion, eight hundred thirty-five million, eight hundred fifty-three thousand, seven hundred sixty-one".