449086480119552 has 576 divisors, whose sum is σ = 1377704401920000. Its totient is φ = 128436900249600.

The previous prime is 449086480119551. The next prime is 449086480119617. The reversal of 449086480119552 is 255911084680944.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449086480119551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68053713949 + ... + 68053720547.

It is an arithmetic number, because the mean of its divisors is an integer number (2391847920000).

Almost surely, 2^{449086480119552} 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 449086480119552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688852200960000).

449086480119552 is an abundant number, since it is smaller than the sum of its proper divisors (928617921800448).

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

449086480119552 is a wasteful number, since it uses less digits than its factorization.

449086480119552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8174 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 66.

The spelling of 449086480119552 in words is "four hundred forty-nine trillion, eighty-six billion, four hundred eighty million, one hundred nineteen thousand, five hundred fifty-two".