450105501054 has 96 divisors (see below), whose sum is σ = 1016836255008. Its totient is φ = 132630220800.

The previous prime is 450105501049. The next prime is 450105501163.

450105501054 is nontrivially palindromic in base 10.

450105501054 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450105501054² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 57400174 + ... + 57408014.

It is an arithmetic number, because the mean of its divisors is an integer number (10592044323).

Almost surely, 2^450105501054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450105501054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508418127504).

450105501054 is an abundant number, since it is smaller than the sum of its proper divisors (566730753954).

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

450105501054 is a wasteful number, since it uses less digits than its factorization.

450105501054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10042 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

It can be divided in two parts, 450105 and 501054, that added together give a palindrome (951159).

The spelling of 450105501054 in words is "four hundred fifty billion, one hundred five million, five hundred one thousand, fifty-four".