353349143712 has 144 divisors (see below), whose sum is σ = 1011809740032. Its totient is φ = 116967052800.

The previous prime is 353349143711. The next prime is 353349143729. The reversal of 353349143712 is 217341943353.

353349143712 is a `hidden beast` number, since 3 + 53 + 3 + 491 + 43 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (353349143711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62570073 + ... + 62575719.

It is an arithmetic number, because the mean of its divisors is an integer number (7026456528).

Almost surely, 2^353349143712 is an apocalyptic number.

353349143712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353349143712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505904870016).

353349143712 is an abundant number, since it is smaller than the sum of its proper divisors (658460596320).

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

353349143712 is a wasteful number, since it uses less digits than its factorization.

353349143712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7120 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 353349143712 in words is "three hundred fifty-three billion, three hundred forty-nine million, one hundred forty-three thousand, seven hundred twelve".