346231861248 has 832 divisors, whose sum is σ = 1188940032000. Its totient is φ = 89016238080.

The previous prime is 346231861223. The next prime is 346231861259. The reversal of 346231861248 is 842168132643.

It is a tau number, because it is divible by the number of its divisors (832).

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 a junction number, because it is equal to n+sod(n) for n = 346231861197 and 346231861206.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3890245588 + ... + 3890245676.

Almost surely, 2^346231861248 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 346231861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594470016000).

346231861248 is an abundant number, since it is smaller than the sum of its proper divisors (842708170752).

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

346231861248 is an equidigital number, since it uses as much as digits as its factorization.

346231861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 185 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 346231861248 in words is "three hundred forty-six billion, two hundred thirty-one million, eight hundred sixty-one thousand, two hundred forty-eight".