449232113664 has 416 divisors, whose sum is σ = 1407017216000. Its totient is φ = 141248987136.

The previous prime is 449232113663. The next prime is 449232113731. The reversal of 449232113664 is 466311232944.

449232113664 is a `hidden beast` number, since 4 + 49 + 232 + 11 + 366 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (449232113663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922447629 + ... + 922448115.

Almost surely, 2^449232113664 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 449232113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703508608000).

449232113664 is an abundant number, since it is smaller than the sum of its proper divisors (957785102336).

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

449232113664 is a wasteful number, since it uses less digits than its factorization.

449232113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 950 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 449232113664 in words is "four hundred forty-nine billion, two hundred thirty-two million, one hundred thirteen thousand, six hundred sixty-four".