450541145054 has 192 divisors, whose sum is σ = 935166036672. Its totient is φ = 160015564800.

The previous prime is 450541144997. The next prime is 450541145059.

450541145054 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×450541145054³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450541144999 and 450541145017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450541145059) 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, 424637684 + ... + 424638744.

It is an arithmetic number, because the mean of its divisors is an integer number (4870656441).

Almost surely, 2^450541145054 is an apocalyptic number.

450541145054 is an abundant number, since it is smaller than the sum of its proper divisors (484624891618).

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

450541145054 is a wasteful number, since it uses less digits than its factorization.

450541145054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 38.

It can be divided in two parts, 450541 and 145054, that added together give a palindrome (595595).

The spelling of 450541145054 in words is "four hundred fifty billion, five hundred forty-one million, one hundred forty-five thousand, fifty-four".