348585602112 has 280 divisors, whose sum is σ = 1176270334272. Its totient is φ = 101038924800.

The previous prime is 348585602111. The next prime is 348585602129. The reversal of 348585602112 is 211206585843.

348585602112 is a `hidden beast` number, since 3 + 4 + 8 + 58 + 560 + 21 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (348585602111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1178662 + ... + 1444442.

Almost surely, 2^348585602112 is an apocalyptic number.

348585602112 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 348585602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588135167136).

348585602112 is an abundant number, since it is smaller than the sum of its proper divisors (827684732160).

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

348585602112 is a wasteful number, since it uses less digits than its factorization.

348585602112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265839 (or 265820 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 348585602112 in words is "three hundred forty-eight billion, five hundred eighty-five million, six hundred two thousand, one hundred twelve".