449748440064 has 1408 divisors, whose sum is σ = 1805395046400. Its totient is φ = 107389255680.

The previous prime is 449748440059. The next prime is 449748440087. The reversal of 449748440064 is 460044847944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10459266027 + ... + 10459266069.

It is an arithmetic number, because the mean of its divisors is an integer number (1282240800).

Almost surely, 2^449748440064 is an apocalyptic number.

449748440064 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 449748440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902697523200).

449748440064 is an abundant number, since it is smaller than the sum of its proper divisors (1355646606336).

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

449748440064 is a wasteful number, since it uses less digits than its factorization.

449748440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 449748440064 in words is "four hundred forty-nine billion, seven hundred forty-eight million, four hundred forty thousand, sixty-four".