449051012865 has 720 divisors, whose sum is σ = 1108673438400. Its totient is φ = 173326293504.

The previous prime is 449051012849. The next prime is 449051012881. The reversal of 449051012865 is 568210150944.

449051012865 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 510 + 128 + 6 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (449051012849) and next prime (449051012881).

It is not a de Polignac number, because 449051012865 - 2⁴ = 449051012849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 449051012865.

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 719 ways as a sum of consecutive naturals, for example, 15484517671 + ... + 15484517699.

It is an arithmetic number, because the mean of its divisors is an integer number (1539824220).

Almost surely, 2^449051012865 is an apocalyptic number.

449051012865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

449051012865 is an abundant number, since it is smaller than the sum of its proper divisors (659622425535).

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

449051012865 is an equidigital number, since it uses as much as digits as its factorization.

449051012865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 449051012865 in words is "four hundred forty-nine billion, fifty-one million, twelve thousand, eight hundred sixty-five".