350363488730112 has 1584 divisors, whose sum is σ = 1237960383169536. Its totient is φ = 94508384256000.

The previous prime is 350363488730009. The next prime is 350363488730153. The reversal of 350363488730112 is 211037884363053.

350363488730112 is a `hidden beast` number, since 3 + 50 + 36 + 3 + 488 + 73 + 0 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 175797032988 + ... + 175797034980.

Almost surely, 2^{350363488730112} is an apocalyptic number.

350363488730112 is a gapful number since it is divisible by the number (32) 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 350363488730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618980191584768).

350363488730112 is an abundant number, since it is smaller than the sum of its proper divisors (887596894439424).

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

350363488730112 is a wasteful number, since it uses less digits than its factorization.

350363488730112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 350363488730112 in words is "three hundred fifty trillion, three hundred sixty-three billion, four hundred eighty-eight million, seven hundred thirty thousand, one hundred twelve".