350485215408 has 200 divisors, whose sum is σ = 1040370818256. Its totient is φ = 113844787200.

The previous prime is 350485215401. The next prime is 350485215433. The reversal of 350485215408 is 804512584053.

350485215408 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 85 + 21 + 540 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (350485215401) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 51591660 + ... + 51598452.

Almost surely, 2^350485215408 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 350485215408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520185409128).

350485215408 is an abundant number, since it is smaller than the sum of its proper divisors (689885602848).

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

350485215408 is a wasteful number, since it uses less digits than its factorization.

350485215408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 350485215408 in words is "three hundred fifty billion, four hundred eighty-five million, two hundred fifteen thousand, four hundred eight".