448019281964160 has 288 divisors, whose sum is σ = 1632776650612380. Its totient is φ = 113183818076160.

The previous prime is 448019281964153. The next prime is 448019281964171. The reversal of 448019281964160 is 61469182910844.

448019281964160 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 1 + 9 + 28 + 196 + 416 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 433455411046464 + 14563870917696 = 20819592^2 + 3816264^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105650731 + ... + 109809450.

Almost surely, 2^{448019281964160} is an apocalyptic number.

448019281964160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448019281964160 is an abundant number, since it is smaller than the sum of its proper divisors (1184757368648220).

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

448019281964160 is a wasteful number, since it uses less digits than its factorization.

448019281964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215460244 (or 215460210 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 448019281964160 in words is "four hundred forty-eight trillion, nineteen billion, two hundred eighty-one million, nine hundred sixty-four thousand, one hundred sixty".