350066045583360 has 1024 divisors, whose sum is σ = 1276709711270400. Its totient is φ = 90957882064896.

The previous prime is 350066045583229. The next prime is 350066045583469. The reversal of 350066045583360 is 63385540660053.

350066045583360 is a `hidden beast` number, since 3 + 50 + 0 + 6 + 6 + 0 + 4 + 5 + 583 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 = 350066045583297 and 350066045583306.

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 63 ways as a sum of consecutive naturals, for example, 86929733667 + ... + 86929737693.

Almost surely, 2^{350066045583360} is an apocalyptic number.

350066045583360 is a gapful number since it is divisible by the number (30) 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 350066045583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638354855635200).

350066045583360 is an abundant number, since it is smaller than the sum of its proper divisors (926643665687040).

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

350066045583360 is an equidigital number, since it uses as much as digits as its factorization.

350066045583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 350066045583360 in words is "three hundred fifty trillion, sixty-six billion, forty-five million, five hundred eighty-three thousand, three hundred sixty".