449734311936 has 1360 divisors, whose sum is σ = 1776274192000. Its totient is φ = 112368549888.

The previous prime is 449734311913. The next prime is 449734311937. The reversal of 449734311936 is 639113437944.

449734311936 is a `hidden beast` number, since 4 + 497 + 3 + 4 + 3 + 119 + 36 = 666.

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

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 (449734311937) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23670226935 + ... + 23670226953.

Almost surely, 2^449734311936 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 449734311936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888137096000).

449734311936 is an abundant number, since it is smaller than the sum of its proper divisors (1326539880064).

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

449734311936 is an frugal number, since it uses more digits than its factorization.

449734311936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 449734311936 in words is "four hundred forty-nine billion, seven hundred thirty-four million, three hundred eleven thousand, nine hundred thirty-six".