450513315054 has 192 divisors, whose sum is σ = 1125052830720. Its totient is φ = 129054332160.

The previous prime is 450513315023. The next prime is 450513315059.

450513315054 is a `hidden beast` number, since 4 + 505 + 133 + 15 + 0 + 5 + 4 = 666.

450513315054 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450513315059) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47856052 + ... + 47865464.

It is an arithmetic number, because the mean of its divisors is an integer number (5859650160).

Almost surely, 2^450513315054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450513315054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562526415360).

450513315054 is an abundant number, since it is smaller than the sum of its proper divisors (674539515666).

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

450513315054 is a wasteful number, since it uses less digits than its factorization.

450513315054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9655 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 450513 and 315054, that added together give a palindrome (765567).

The spelling of 450513315054 in words is "four hundred fifty billion, five hundred thirteen million, three hundred fifteen thousand, fifty-four".