351130431168 has 448 divisors, whose sum is σ = 1148027005440. Its totient is φ = 104346316800.

The previous prime is 351130431121. The next prime is 351130431173. The reversal of 351130431168 is 861134031153.

351130431168 is a `hidden beast` number, since 3 + 51 + 13 + 0 + 431 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373145578 + ... + 373146518.

It is an arithmetic number, because the mean of its divisors is an integer number (2562560280).

Almost surely, 2^351130431168 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 351130431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574013502720).

351130431168 is an abundant number, since it is smaller than the sum of its proper divisors (796896574272).

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

351130431168 is a wasteful number, since it uses less digits than its factorization.

351130431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 351130431168 in words is "three hundred fifty-one billion, one hundred thirty million, four hundred thirty-one thousand, one hundred sixty-eight".