353243070341376 has 288 divisors, whose sum is σ = 1008162210263040. Its totient is φ = 109405801709568.

The previous prime is 353243070341353. The next prime is 353243070341383. The reversal of 353243070341376 is 673143070342353.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12879377775 + ... + 12879405201.

It is an arithmetic number, because the mean of its divisors is an integer number (3500563230080).

Almost surely, 2^{353243070341376} 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 353243070341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504081105131520).

353243070341376 is an abundant number, since it is smaller than the sum of its proper divisors (654919139921664).

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

353243070341376 is a wasteful number, since it uses less digits than its factorization.

353243070341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40029 (or 40015 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 51.

The spelling of 353243070341376 in words is "three hundred fifty-three trillion, two hundred forty-three billion, seventy million, three hundred forty-one thousand, three hundred seventy-six".