345523575144 has 128 divisors (see below), whose sum is σ = 965332500480. Its totient is φ = 102176121600.

The previous prime is 345523575143. The next prime is 345523575169. The reversal of 345523575144 is 441575325543.

It is a junction number, because it is equal to n+sod(n) for n = 345523575093 and 345523575102.

It is not an unprimeable number, because it can be changed into a prime (345523575143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1960737 + ... + 2129679.

It is an arithmetic number, because the mean of its divisors is an integer number (7541660160).

Almost surely, 2^345523575144 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 345523575144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482666250240).

345523575144 is an abundant number, since it is smaller than the sum of its proper divisors (619808925336).

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

345523575144 is a wasteful number, since it uses less digits than its factorization.

345523575144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169151 (or 169147 counting only the distinct ones).

The product of its digits is 5040000, while the sum is 48.

The spelling of 345523575144 in words is "three hundred forty-five billion, five hundred twenty-three million, five hundred seventy-five thousand, one hundred forty-four".