351946221024 has 192 divisors, whose sum is σ = 980190167040. Its totient is φ = 110415951360.

The previous prime is 351946220981. The next prime is 351946221031. The reversal of 351946221024 is 420122649153.

It is a super-2 number, since 2×351946221024² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 15740797 + ... + 15763139.

It is an arithmetic number, because the mean of its divisors is an integer number (5105157120).

Almost surely, 2^351946221024 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 351946221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490095083520).

351946221024 is an abundant number, since it is smaller than the sum of its proper divisors (628243946016).

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

351946221024 is a wasteful number, since it uses less digits than its factorization.

351946221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22533 (or 22525 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 351946221024 in words is "three hundred fifty-one billion, nine hundred forty-six million, two hundred twenty-one thousand, twenty-four".