350293047444 has 240 divisors, whose sum is σ = 956864004096. Its totient is φ = 111620980800.

The previous prime is 350293047437. The next prime is 350293047479. The reversal of 350293047444 is 444740392053.

350293047444 is a `hidden beast` number, since 3 + 50 + 2 + 93 + 0 + 474 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 350293047444.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 396707427 + ... + 396708309.

Almost surely, 2^350293047444 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 350293047444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478432002048).

350293047444 is an abundant number, since it is smaller than the sum of its proper divisors (606570956652).

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

350293047444 is a wasteful number, since it uses less digits than its factorization.

350293047444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 350293047444 in words is "three hundred fifty billion, two hundred ninety-three million, forty-seven thousand, four hundred forty-four".