354044012112 has 240 divisors, whose sum is σ = 1164528144000. Its totient is φ = 98322149376.

The previous prime is 354044012107. The next prime is 354044012117. The reversal of 354044012112 is 211210440453.

354044012112 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 440 + 1 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (354044012107) and next prime (354044012117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354044012117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5259564 + ... + 5326452.

It is an arithmetic number, because the mean of its divisors is an integer number (4852200600).

Almost surely, 2^354044012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354044012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582264072000).

354044012112 is an abundant number, since it is smaller than the sum of its proper divisors (810484131888).

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

354044012112 is a wasteful number, since it uses less digits than its factorization.

354044012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67058 (or 67049 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 354044012112 its reverse (211210440453), we get a palindrome (565254452565).

The spelling of 354044012112 in words is "three hundred fifty-four billion, forty-four million, twelve thousand, one hundred twelve".