346234314626112 has 112 divisors (see below), whose sum is σ = 999364316931072. Its totient is φ = 104918840302080.

The previous prime is 346234314626111. The next prime is 346234314626113. The reversal of 346234314626112 is 211626413432643.

It is an interprime number because it is at equal distance from previous prime (346234314626111) and next prime (346234314626113).

It is a super-2 number, since 2×346234314626112² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (346234314626111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425894773 + ... + 426706955.

Almost surely, 2^{346234314626112} is an apocalyptic number.

346234314626112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

346234314626112 is an abundant number, since it is smaller than the sum of its proper divisors (653130002304960).

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

346234314626112 is a wasteful number, since it uses less digits than its factorization.

346234314626112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014056 (or 1014046 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 346234314626112 in words is "three hundred forty-six trillion, two hundred thirty-four billion, three hundred fourteen million, six hundred twenty-six thousand, one hundred twelve".