351312583456 has 48 divisors (see below), whose sum is σ = 710724744576. Its totient is φ = 170816207616.

The previous prime is 351312583423. The next prime is 351312583537. The reversal of 351312583456 is 654385213153.

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 7 ways as a sum of consecutive naturals, for example, 2131065 + ... + 2289991.

It is an arithmetic number, because the mean of its divisors is an integer number (14806765512).

Almost surely, 2^351312583456 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 351312583456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355362372288).

351312583456 is an abundant number, since it is smaller than the sum of its proper divisors (359412161120).

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

351312583456 is a wasteful number, since it uses less digits than its factorization.

351312583456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160841 (or 160833 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 46.

The spelling of 351312583456 in words is "three hundred fifty-one billion, three hundred twelve million, five hundred eighty-three thousand, four hundred fifty-six".