304123521344 has 56 divisors (see below), whose sum is σ = 615028869000. Its totient is φ = 149156993024.

The previous prime is 304123521323. The next prime is 304123521349. The reversal of 304123521344 is 443125321403.

It can be written as a sum of positive squares in 4 ways, for example, as 205062400 + 303918458944 = 14320^2 + 551288^2 .

It is a super-2 number, since 2×304123521344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 304123521344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304123521349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19302782 + ... + 19318530.

It is an arithmetic number, because the mean of its divisors is an integer number (10982658375).

Almost surely, 2^304123521344 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 304123521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307514434500).

304123521344 is an abundant number, since it is smaller than the sum of its proper divisors (310905347656).

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

304123521344 is a wasteful number, since it uses less digits than its factorization.

304123521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21507 (or 21497 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 304123521344 its reverse (443125321403), we get a palindrome (747248842747).

The spelling of 304123521344 in words is "three hundred four billion, one hundred twenty-three million, five hundred twenty-one thousand, three hundred forty-four".