346600314222162 has 512 divisors, whose sum is σ = 977727614976000. Its totient is φ = 79001116508160.

The previous prime is 346600314222103. The next prime is 346600314222179. The reversal of 346600314222162 is 261222413006643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3704808378 + ... + 3704901930.

It is an arithmetic number, because the mean of its divisors is an integer number (1909624248000).

Almost surely, 2^{346600314222162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346600314222162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488863807488000).

346600314222162 is an abundant number, since it is smaller than the sum of its proper divisors (631127300753838).

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

346600314222162 is a wasteful number, since it uses less digits than its factorization.

346600314222162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93946.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 346600314222162 in words is "three hundred forty-six trillion, six hundred billion, three hundred fourteen million, two hundred twenty-two thousand, one hundred sixty-two".