350191226880 has 624 divisors, whose sum is σ = 1373456919744. Its totient is φ = 84881571840.

The previous prime is 350191226873. The next prime is 350191226893. The reversal of 350191226880 is 88622191053.

350191226880 is a `hidden beast` number, since 3 + 501 + 9 + 1 + 2 + 2 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54739842 + ... + 54746238.

It is an arithmetic number, because the mean of its divisors is an integer number (2201052756).

Almost surely, 2^350191226880 is an apocalyptic number.

350191226880 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 350191226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686728459872).

350191226880 is an abundant number, since it is smaller than the sum of its proper divisors (1023265692864).

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

350191226880 is an equidigital number, since it uses as much as digits as its factorization.

350191226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 350191226880 in words is "three hundred fifty billion, one hundred ninety-one million, two hundred twenty-six thousand, eight hundred eighty".