300145005468 has 192 divisors, whose sum is σ = 976594698240. Its totient is φ = 77443128000.

The previous prime is 300145005443. The next prime is 300145005487. The reversal of 300145005468 is 864500541003.

It is a happy number.

300145005468 is a `hidden beast` number, since 30 + 0 + 14 + 500 + 54 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1136205 + ... + 1375227.

It is an arithmetic number, because the mean of its divisors is an integer number (5086430720).

Almost surely, 2^300145005468 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 300145005468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488297349120).

300145005468 is an abundant number, since it is smaller than the sum of its proper divisors (676449692772).

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

300145005468 is a wasteful number, since it uses less digits than its factorization.

300145005468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239205 (or 239197 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 300145005468 in words is "three hundred billion, one hundred forty-five million, five thousand, four hundred sixty-eight".