449055523835688 has 576 divisors, whose sum is σ = 1500573038469120. Its totient is φ = 109595029800960.

The previous prime is 449055523835669. The next prime is 449055523835701. The reversal of 449055523835688 is 886538325550944.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3565935781 + ... + 3566061707.

It is an arithmetic number, because the mean of its divisors is an integer number (2605161525120).

Almost surely, 2^{449055523835688} 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 449055523835688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750286519234560).

449055523835688 is an abundant number, since it is smaller than the sum of its proper divisors (1051517514633432).

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

449055523835688 is a wasteful number, since it uses less digits than its factorization.

449055523835688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126606 (or 126574 counting only the distinct ones).

The product of its (nonzero) digits is 4976640000, while the sum is 75.

The spelling of 449055523835688 in words is "four hundred forty-nine trillion, fifty-five billion, five hundred twenty-three million, eight hundred thirty-five thousand, six hundred eighty-eight".