450349105500 has 1728 divisors, whose sum is σ = 1894586803200. Its totient is φ = 91119168000.

The previous prime is 450349105489. The next prime is 450349105511. The reversal of 450349105500 is 5501943054.

450349105500 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 49 + 105 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (450349105489) and next prime (450349105511).

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14527390485 + ... + 14527390515.

It is an arithmetic number, because the mean of its divisors is an integer number (1096404400).

Almost surely, 2^450349105500 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 450349105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947293401600).

450349105500 is an abundant number, since it is smaller than the sum of its proper divisors (1444237697700).

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

450349105500 is a wasteful number, since it uses less digits than its factorization.

450349105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 450349105500 in words is "four hundred fifty billion, three hundred forty-nine million, one hundred five thousand, five hundred".