346812500930112 has 336 divisors, whose sum is σ = 1178216186900480. Its totient is φ = 99084851016192.

The previous prime is 346812500930083. The next prime is 346812500930131. The reversal of 346812500930112 is 211039005218643.

346812500930112 is a `hidden beast` number, since 3 + 4 + 6 + 81 + 250 + 0 + 9 + 301 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 3019721073 + ... + 3019835919.

Almost surely, 2^{346812500930112} is an apocalyptic number.

346812500930112 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 346812500930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589108093450240).

346812500930112 is an abundant number, since it is smaller than the sum of its proper divisors (831403685970368).

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

346812500930112 is a wasteful number, since it uses less digits than its factorization.

346812500930112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142620 (or 142598 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 346812500930112 in words is "three hundred forty-six trillion, eight hundred twelve billion, five hundred million, nine hundred thirty thousand, one hundred twelve".