350766651312 has 960 divisors, whose sum is σ = 1334081041920. Its totient is φ = 87178291200.

The previous prime is 350766651299. The next prime is 350766651317. The reversal of 350766651312 is 213156667053.

It is not an unprimeable number, because it can be changed into a prime (350766651317) 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 191 ways as a sum of consecutive naturals, for example, 530660262 + ... + 530660922.

It is an arithmetic number, because the mean of its divisors is an integer number (1389667752).

Almost surely, 2^350766651312 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 350766651312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667040520960).

350766651312 is an abundant number, since it is smaller than the sum of its proper divisors (983314390608).

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

350766651312 is a wasteful number, since it uses less digits than its factorization.

350766651312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 350766651312 in words is "three hundred fifty billion, seven hundred sixty-six million, six hundred fifty-one thousand, three hundred twelve".