303357145216420 has 144 divisors (see below), whose sum is σ = 670181319506160. Its totient is φ = 115321498951680.

The previous prime is 303357145216417. The next prime is 303357145216501. The reversal of 303357145216420 is 24612541753303.

It can be written as a sum of positive squares in 8 ways, for example, as 2684597048676 + 300672548167744 = 1638474^2 + 17339912^2 .

It is a super-2 number, since 2×303357145216420² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236092024 + ... + 237373456.

It is an arithmetic number, because the mean of its divisors is an integer number (4654036941015).

Almost surely, 2^{303357145216420} 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 303357145216420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335090659753080).

303357145216420 is an abundant number, since it is smaller than the sum of its proper divisors (366824174289740).

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

303357145216420 is a wasteful number, since it uses less digits than its factorization.

303357145216420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281726 (or 1281693 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

Adding to 303357145216420 its reverse (24612541753303), we get a palindrome (327969686969723).

The spelling of 303357145216420 in words is "three hundred three trillion, three hundred fifty-seven billion, one hundred forty-five million, two hundred sixteen thousand, four hundred twenty".