449535348864 has 768 divisors, whose sum is σ = 1580328921600. Its totient is φ = 119899422720.

The previous prime is 449535348863. The next prime is 449535348881. The reversal of 449535348864 is 468843535944.

449535348864 is a `hidden beast` number, since 4 + 4 + 9 + 535 + 34 + 8 + 8 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (449535348863) 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 95 ways as a sum of consecutive naturals, for example, 1865291784 + ... + 1865292024.

It is an arithmetic number, because the mean of its divisors is an integer number (2057719950).

Almost surely, 2^449535348864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449535348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790164460800).

449535348864 is an abundant number, since it is smaller than the sum of its proper divisors (1130793572736).

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

449535348864 is a wasteful number, since it uses less digits than its factorization.

449535348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 478 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 449535348864 in words is "four hundred forty-nine billion, five hundred thirty-five million, three hundred forty-eight thousand, eight hundred sixty-four".