450010016105144 has 64 divisors (see below), whose sum is σ = 950172642478080. Its totient is φ = 197950606128000.

The previous prime is 450010016105141. The next prime is 450010016105147. The reversal of 450010016105144 is 441501610010054.

It is an interprime number because it is at equal distance from previous prime (450010016105141) and next prime (450010016105147).

It is a self number, because there is not a number n which added to its sum of digits gives 450010016105144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450010016105141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835216154 + ... + 835754774.

It is an arithmetic number, because the mean of its divisors is an integer number (14846447538720).

Almost surely, 2^{450010016105144} is an apocalyptic number.

450010016105144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

450010016105144 is an abundant number, since it is smaller than the sum of its proper divisors (500162626372936).

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

450010016105144 is a wasteful number, since it uses less digits than its factorization.

450010016105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844932 (or 844928 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 450010016105144 its reverse (441501610010054), we get a palindrome (891511626115198).

The spelling of 450010016105144 in words is "four hundred fifty trillion, ten billion, sixteen million, one hundred five thousand, one hundred forty-four".