345414231353200 has 120 divisors (see below), whose sum is σ = 833323052045088. Its totient is φ = 137589124439040.

The previous prime is 345414231353189. The next prime is 345414231353333. The reversal of 345414231353200 is 2353132414543.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282693982 + ... + 283913218.

Almost surely, 2^{345414231353200} 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 345414231353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416661526022544).

345414231353200 is an abundant number, since it is smaller than the sum of its proper divisors (487908820691888).

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

345414231353200 is a wasteful number, since it uses less digits than its factorization.

345414231353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222211 (or 1222200 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 345414231353200 its reverse (2353132414543), we get a palindrome (347767363767743).

The spelling of 345414231353200 in words is "three hundred forty-five trillion, four hundred fourteen billion, two hundred thirty-one million, three hundred fifty-three thousand, two hundred".