450577114880 has 144 divisors (see below), whose sum is σ = 1101718485504. Its totient is φ = 176508272640.

The previous prime is 450577114861. The next prime is 450577114919. The reversal of 450577114880 is 88411775054.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18180257 + ... + 18205023.

It is an arithmetic number, because the mean of its divisors is an integer number (7650822816).

Almost surely, 2^450577114880 is an apocalyptic number.

450577114880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450577114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550859242752).

450577114880 is an abundant number, since it is smaller than the sum of its proper divisors (651141370624).

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

450577114880 is a wasteful number, since it uses less digits than its factorization.

450577114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25082 (or 25068 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 50.

The spelling of 450577114880 in words is "four hundred fifty billion, five hundred seventy-seven million, one hundred fourteen thousand, eight hundred eighty".