300468864003 has 96 divisors (see below), whose sum is σ = 558164390400. Its totient is φ = 139173534720.

The previous prime is 300468863999. The next prime is 300468864013.

300468864003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 300468864003 - 2² = 300468863999 is a prime.

It is a super-3 number, since 3×300468864003³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (300468864013) 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 95 ways as a sum of consecutive naturals, for example, 1311673 + ... + 1523621.

It is an arithmetic number, because the mean of its divisors is an integer number (5814212400).

Almost surely, 2^300468864003 is an apocalyptic number.

300468864003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

300468864003 is a deficient number, since it is larger than the sum of its proper divisors (257695526397).

300468864003 is a wasteful number, since it uses less digits than its factorization.

300468864003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212025 (or 212006 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 300468864003 in words is "three hundred billion, four hundred sixty-eight million, eight hundred sixty-four thousand, three".