354305343213000 has 128 divisors (see below), whose sum is σ = 1228258523232000. Its totient is φ = 94481424849600.

The previous prime is 354305343212999. The next prime is 354305343213013. The reversal of 354305343213000 is 312343503453.

354305343213000 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 0 + 5 + 343 + 2 + 1 + 300 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6561183060 + ... + 6561237059.

It is an arithmetic number, because the mean of its divisors is an integer number (9595769712750).

Almost surely, 2^{354305343213000} is an apocalyptic number.

354305343213000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354305343213000 is an abundant number, since it is smaller than the sum of its proper divisors (873953180019000).

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

354305343213000 is a wasteful number, since it uses less digits than its factorization.

354305343213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13122420149 (or 13122420129 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 354305343213000 its reverse (312343503453), we get a palindrome (354617686716453).

The spelling of 354305343213000 in words is "three hundred fifty-four trillion, three hundred five billion, three hundred forty-three million, two hundred thirteen thousand".