353432856036100 has 243 divisors, whose sum is σ = 785936553130911. Its totient is φ = 137957517734400.

The previous prime is 353432856036067. The next prime is 353432856036103. The reversal of 353432856036100 is 1630658234353.

The square root of 353432856036100 is 18799810.

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 179812598374084 + 173620257662016 = 13409422^2 + 13176504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353432856036103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2697960733035 + ... + 2697960733165.

Almost surely, 2^{353432856036100} is an apocalyptic number.

353432856036100 is the 18799810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353432856036100

353432856036100 is an abundant number, since it is smaller than the sum of its proper divisors (432503697094811).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

353432856036100 is a wasteful number, since it uses less digits than its factorization.

353432856036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 49.

The spelling of 353432856036100 in words is "three hundred fifty-three trillion, four hundred thirty-two billion, eight hundred fifty-six million, thirty-six thousand, one hundred".