350478208144 has 75 divisors (see below), whose sum is σ = 704323499187. Its totient is φ = 168950752608.

The previous prime is 350478208121. The next prime is 350478208147. The reversal of 350478208144 is 441802874053.

The square root of 350478208144 is 592012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 350478208094 and 350478208103.

It is not an unprimeable number, because it can be changed into a prime (350478208147) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 5231017999 + ... + 5231018065.

Almost surely, 2^350478208144 is an apocalyptic number.

350478208144 is the 592012-nd square number.

It is an amenable number.

350478208144 is an abundant number, since it is smaller than the sum of its proper divisors (353845291043).

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

350478208144 is an frugal number, since it uses more digits than its factorization.

350478208144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 350478208144 in words is "three hundred fifty billion, four hundred seventy-eight million, two hundred eight thousand, one hundred forty-four".