449853358944 has 192 divisors, whose sum is σ = 1358485551360. Its totient is φ = 128909445120.

The previous prime is 449853358907. The next prime is 449853358951.

449853358944 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11155522 + ... + 11195774.

It is an arithmetic number, because the mean of its divisors is an integer number (7075445580).

Almost surely, 2^449853358944 is an apocalyptic number.

449853358944 is a gapful number since it is divisible by the number (44) 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 449853358944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679242775680).

449853358944 is an abundant number, since it is smaller than the sum of its proper divisors (908632192416).

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

449853358944 is a wasteful number, since it uses less digits than its factorization.

449853358944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40853 (or 40845 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 66.

The spelling of 449853358944 in words is "four hundred forty-nine billion, eight hundred fifty-three million, three hundred fifty-eight thousand, nine hundred forty-four".