346145165124 has 144 divisors (see below), whose sum is σ = 927393976320. Its totient is φ = 100221105600.

The previous prime is 346145165081. The next prime is 346145165141. The reversal of 346145165124 is 421561541643.

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, 33090207 + ... + 33100665.

Almost surely, 2^346145165124 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 346145165124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463696988160).

346145165124 is an abundant number, since it is smaller than the sum of its proper divisors (581248811196).

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

346145165124 is a wasteful number, since it uses less digits than its factorization.

346145165124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502 (or 11489 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 346145165124 in words is "three hundred forty-six billion, one hundred forty-five million, one hundred sixty-five thousand, one hundred twenty-four".