1448517168 has 280 divisors, whose sum is σ = 4882404768. Its totient is φ = 407586816.

The previous prime is 1448517149. The next prime is 1448517197. The reversal of 1448517168 is 8617158441.

1448517168 is a `hidden beast` number, since 1 + 4 + 485 + 1 + 7 + 168 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9226146 + ... + 9226302.

Almost surely, 2^1448517168 is an apocalyptic number.

1448517168 is a gapful number since it is divisible by the number (18) 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 1448517168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441202384).

1448517168 is an abundant number, since it is smaller than the sum of its proper divisors (3433887600).

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

1448517168 is a wasteful number, since it uses less digits than its factorization.

1448517168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 1448517168 is about 38059.3900108764. The cubic root of 1448517168 is about 1131.4652378908.

The spelling of 1448517168 in words is "one billion, four hundred forty-eight million, five hundred seventeen thousand, one hundred sixty-eight".