354213201233000 has 32 divisors (see below), whose sum is σ = 828858890887560. Its totient is φ = 141685280492800.

The previous prime is 354213201232931. The next prime is 354213201233051. The reversal of 354213201233000 is 332102312453.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 157735061984644 + 196478139248356 = 12559262^2 + 14017066^2 .

It is a super-3 number, since 3×354213201233000³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177106599617 + ... + 177106601616.

Almost surely, 2^{354213201233000} is an apocalyptic number.

It is an amenable number.

354213201233000 is an abundant number, since it is smaller than the sum of its proper divisors (474645689654560).

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

354213201233000 is a wasteful number, since it uses less digits than its factorization.

354213201233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354213201254 (or 354213201240 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 354213201233000 its reverse (332102312453), we get a palindrome (354545303545453).

The spelling of 354213201233000 in words is "three hundred fifty-four trillion, two hundred thirteen billion, two hundred one million, two hundred thirty-three thousand".