449867346768 has 160 divisors (see below), whose sum is σ = 1562564632320. Its totient is φ = 120972718080.

The previous prime is 449867346707. The next prime is 449867346781. The reversal of 449867346768 is 867643768944.

449867346768 is a `hidden beast` number, since 4 + 4 + 98 + 6 + 73 + 467 + 6 + 8 = 666.

It is a super-3 number, since 3×449867346768³ (a number of 36 digits) contains 333 as substring.

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 junction number, because it is equal to n+sod(n) for n = 449867346696 and 449867346705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4324053 + ... + 4426868.

It is an arithmetic number, because the mean of its divisors is an integer number (9766028952).

Almost surely, 2^449867346768 is an apocalyptic number.

449867346768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

449867346768 is an abundant number, since it is smaller than the sum of its proper divisors (1112697285552).

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

449867346768 is a wasteful number, since it uses less digits than its factorization.

449867346768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750962 (or 8750950 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 449867346768 in words is "four hundred forty-nine billion, eight hundred sixty-seven million, three hundred forty-six thousand, seven hundred sixty-eight".