354444145140 has 192 divisors, whose sum is σ = 1021504006656. Its totient is φ = 91792017408.

The previous prime is 354444145103. The next prime is 354444145141. The reversal of 354444145140 is 41541444453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354444145141) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 146281969 + ... + 146284391.

It is an arithmetic number, because the mean of its divisors is an integer number (5320333368).

Almost surely, 2^354444145140 is an apocalyptic number.

354444145140 is a gapful number since it is divisible by the number (30) 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 354444145140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510752003328).

354444145140 is an abundant number, since it is smaller than the sum of its proper divisors (667059861516).

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

354444145140 is a wasteful number, since it uses less digits than its factorization.

354444145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

Adding to 354444145140 its reverse (41541444453), we get a palindrome (395985589593).

The spelling of 354444145140 in words is "three hundred fifty-four billion, four hundred forty-four million, one hundred forty-five thousand, one hundred forty".