449463264768 has 320 divisors, whose sum is σ = 1522260664320. Its totient is φ = 128269910016.

The previous prime is 449463264739. The next prime is 449463264769. The reversal of 449463264768 is 867462364944.

It is a happy number.

449463264768 is a `hidden beast` number, since 4 + 49 + 463 + 2 + 64 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449463264769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105184680 + ... + 105188952.

It is an arithmetic number, because the mean of its divisors is an integer number (4757064576).

Almost surely, 2^449463264768 is an apocalyptic number.

449463264768 is a gapful number since it is divisible by the number (48) 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 449463264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761130332160).

449463264768 is an abundant number, since it is smaller than the sum of its proper divisors (1072797399552).

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

449463264768 is a wasteful number, since it uses less digits than its factorization.

449463264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5372 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 449463264768 in words is "four hundred forty-nine billion, four hundred sixty-three million, two hundred sixty-four thousand, seven hundred sixty-eight".