345514130224 has 80 divisors (see below), whose sum is σ = 721368115200. Its totient is φ = 159849930240.

The previous prime is 345514130207. The next prime is 345514130243. The reversal of 345514130224 is 422031415543.

It is a self number, because there is not a number n which added to its sum of digits gives 345514130224.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38178052 + ... + 38187100.

It is an arithmetic number, because the mean of its divisors is an integer number (9017101440).

Almost surely, 2^345514130224 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 345514130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360684057600).

345514130224 is an abundant number, since it is smaller than the sum of its proper divisors (375853984976).

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

345514130224 is a wasteful number, since it uses less digits than its factorization.

345514130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 12452 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 345514130224 its reverse (422031415543), we get a palindrome (767545545767).

The spelling of 345514130224 in words is "three hundred forty-five billion, five hundred fourteen million, one hundred thirty thousand, two hundred twenty-four".