351084334656 has 224 divisors, whose sum is σ = 1032575446656. Its totient is φ = 104380416000.

The previous prime is 351084334633. The next prime is 351084334661. The reversal of 351084334656 is 656433480153.

It is a super-4 number, since 4×351084334656⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54235036 + ... + 54241508.

Almost surely, 2^351084334656 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 351084334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516287723328).

351084334656 is an abundant number, since it is smaller than the sum of its proper divisors (681491112000).

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

351084334656 is a wasteful number, since it uses less digits than its factorization.

351084334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 351084334656 in words is "three hundred fifty-one billion, eighty-four million, three hundred thirty-four thousand, six hundred fifty-six".