449693669376 has 648 divisors, whose sum is σ = 1571173318260. Its totient is φ = 128295788544.

The previous prime is 449693669351. The next prime is 449693669377. The reversal of 449693669376 is 673966396944.

449693669376 is a `hidden beast` number, since 4 + 496 + 9 + 3 + 6 + 69 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449693669377) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 658409131 + ... + 658409813.

Almost surely, 2^449693669376 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 449693669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785586659130).

449693669376 is an abundant number, since it is smaller than the sum of its proper divisors (1121479648884).

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

449693669376 is an frugal number, since it uses more digits than its factorization.

449693669376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 695 counting only the distinct ones).

The product of its digits is 952342272, while the sum is 72.

The spelling of 449693669376 in words is "four hundred forty-nine billion, six hundred ninety-three million, six hundred sixty-nine thousand, three hundred seventy-six".