351350096328 has 192 divisors, whose sum is σ = 1186810859520. Its totient is φ = 91226390400.

The previous prime is 351350096323. The next prime is 351350096333. The reversal of 351350096328 is 823690053153.

It is a happy number.

351350096328 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 5 + 0 + 0 + 9 + 632 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (351350096323) and next prime (351350096333).

It is not an unprimeable number, because it can be changed into a prime (351350096323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17547843 + ... + 17567853.

It is an arithmetic number, because the mean of its divisors is an integer number (6181306560).

Almost surely, 2^351350096328 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 351350096328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593405429760).

351350096328 is an abundant number, since it is smaller than the sum of its proper divisors (835460763192).

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

351350096328 is a wasteful number, since it uses less digits than its factorization.

351350096328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23208 (or 23201 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 351350096328 in words is "three hundred fifty-one billion, three hundred fifty million, ninety-six thousand, three hundred twenty-eight".