449560387803168 has 1152 divisors, whose sum is σ = 1461228030662400. Its totient is φ = 130260566016000.

The previous prime is 449560387803139. The next prime is 449560387803179. The reversal of 449560387803168 is 861308783065944.

449560387803168 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 6 + 0 + 387 + 80 + 3 + 168 = 666.

It is a super-2 number, since 2×449560387803168² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 449560387803096 and 449560387803105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 236486263018 + ... + 236486264918.

It is an arithmetic number, because the mean of its divisors is an integer number (1268427109950).

Almost surely, 2^{449560387803168} is an apocalyptic number.

449560387803168 is a gapful number since it is divisible by the number (48) 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 449560387803168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730614015331200).

449560387803168 is an abundant number, since it is smaller than the sum of its proper divisors (1011667642859232).

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

449560387803168 is a wasteful number, since it uses less digits than its factorization.

449560387803168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 449560387803168 in words is "four hundred forty-nine trillion, five hundred sixty billion, three hundred eighty-seven million, eight hundred three thousand, one hundred sixty-eight".