346156260912 has 960 divisors, whose sum is σ = 1308066278400. Its totient is φ = 86607360000.

The previous prime is 346156260911. The next prime is 346156260913. The reversal of 346156260912 is 219062651643.

346156260912 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 5 + 626 + 0 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (346156260911) and next prime (346156260913).

It is not an unprimeable number, because it can be changed into a prime (346156260911) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 964223389 + ... + 964223747.

It is an arithmetic number, because the mean of its divisors is an integer number (1362569040).

Almost surely, 2^346156260912 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 346156260912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654033139200).

346156260912 is an abundant number, since it is smaller than the sum of its proper divisors (961910017488).

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

346156260912 is a wasteful number, since it uses less digits than its factorization.

346156260912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 346156260912 in words is "three hundred forty-six billion, one hundred fifty-six million, two hundred sixty thousand, nine hundred twelve".