350655820333056 has 1824 divisors, whose sum is σ = 1315960705543680. Its totient is φ = 90079657721856.

The previous prime is 350655820332997. The next prime is 350655820333057. The reversal of 350655820333056 is 650333028556053.

350655820333056 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 5 + 58 + 203 + 330 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 350655820332993 and 350655820333011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350655820333057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445560127095 + ... + 445560127881.

Almost surely, 2^{350655820333056} is an apocalyptic number.

350655820333056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350655820333056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657980352771840).

350655820333056 is an abundant number, since it is smaller than the sum of its proper divisors (965304885210624).

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

350655820333056 is an frugal number, since it uses more digits than its factorization.

350655820333056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 54.

The spelling of 350655820333056 in words is "three hundred fifty trillion, six hundred fifty-five billion, eight hundred twenty million, three hundred thirty-three thousand, fifty-six".