448871157504 has 864 divisors, whose sum is σ = 1708855948800. Its totient is φ = 109897482240.

The previous prime is 448871157481. The next prime is 448871157551. The reversal of 448871157504 is 405751178844.

It is a happy number.

448871157504 is a `hidden beast` number, since 4 + 4 + 8 + 87 + 1 + 1 + 57 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221226762 + ... + 221228790.

Almost surely, 2^448871157504 is an apocalyptic number.

448871157504 is a gapful number since it is divisible by the number (44) 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 448871157504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854427974400).

448871157504 is an abundant number, since it is smaller than the sum of its proper divisors (1259984791296).

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

448871157504 is a wasteful number, since it uses less digits than its factorization.

448871157504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 448871157504 in words is "four hundred forty-eight billion, eight hundred seventy-one million, one hundred fifty-seven thousand, five hundred four".