345554304000 has 176 divisors, whose sum is σ = 1149444475296. Its totient is φ = 92147712000.

The previous prime is 345554303977. The next prime is 345554304001. The reversal of 345554304000 is 403455543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345554304001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65941 + ... + 833940.

Almost surely, 2^345554304000 is an apocalyptic number.

345554304000 is a gapful number since it is divisible by the number (30) 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 345554304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574722237648).

345554304000 is an abundant number, since it is smaller than the sum of its proper divisors (803890171296).

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

345554304000 is an equidigital number, since it uses as much as digits as its factorization.

345554304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899919 (or 899891 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 345554304000 its reverse (403455543), we get a palindrome (345957759543).

The spelling of 345554304000 in words is "three hundred forty-five billion, five hundred fifty-four million, three hundred four thousand".