345401125248 has 128 divisors (see below), whose sum is σ = 970767619200. Its totient is φ = 108508446720.

The previous prime is 345401125247. The next prime is 345401125261. The reversal of 345401125248 is 842521104543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345401125247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285483 + ... + 1530773.

It is an arithmetic number, because the mean of its divisors is an integer number (7584122025).

Almost surely, 2^345401125248 is an apocalyptic number.

345401125248 is a gapful number since it is divisible by the number (38) 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 345401125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485383809600).

345401125248 is an abundant number, since it is smaller than the sum of its proper divisors (625366493952).

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

345401125248 is a wasteful number, since it uses less digits than its factorization.

345401125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245520 (or 245508 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 345401125248 in words is "three hundred forty-five billion, four hundred one million, one hundred twenty-five thousand, two hundred forty-eight".