449399688192 has 2112 divisors, whose sum is σ = 1881798912000. Its totient is φ = 104342224896.

The previous prime is 449399688187. The next prime is 449399688197. The reversal of 449399688192 is 291886993944.

449399688192 is a `hidden beast` number, since 4 + 49 + 399 + 6 + 8 + 8 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (449399688187) and next prime (449399688197).

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 self number, because there is not a number n which added to its sum of digits gives 449399688192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449399688197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5688603609 + ... + 5688603687.

Almost surely, 2^449399688192 is an apocalyptic number.

449399688192 is a gapful number since it is divisible by the number (42) 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 449399688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940899456000).

449399688192 is an abundant number, since it is smaller than the sum of its proper divisors (1432399223808).

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

449399688192 is a wasteful number, since it uses less digits than its factorization.

449399688192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 449399688192 in words is "four hundred forty-nine billion, three hundred ninety-nine million, six hundred eighty-eight thousand, one hundred ninety-two".