351350252968 has 256 divisors, whose sum is σ = 822071255040. Its totient is φ = 138584908800.

The previous prime is 351350252921. The next prime is 351350252969. The reversal of 351350252968 is 869252053153.

It is not an unprimeable number, because it can be changed into a prime (351350252969) 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 63 ways as a sum of consecutive naturals, for example, 201115471 + ... + 201117217.

It is an arithmetic number, because the mean of its divisors is an integer number (3211215840).

Almost surely, 2^351350252968 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 351350252968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411035627520).

351350252968 is an abundant number, since it is smaller than the sum of its proper divisors (470721002072).

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

351350252968 is a wasteful number, since it uses less digits than its factorization.

351350252968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 351350252968 in words is "three hundred fifty-one billion, three hundred fifty million, two hundred fifty-two thousand, nine hundred sixty-eight".