448136810496 has 260 divisors, whose sum is σ = 1396943203392. Its totient is φ = 142881767424.

The previous prime is 448136810489. The next prime is 448136810533. The reversal of 448136810496 is 694018631844.

448136810496 is a `hidden beast` number, since 4 + 4 + 8 + 136 + 8 + 10 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7601485 + ... + 7660211.

Almost surely, 2^448136810496 is an apocalyptic number.

448136810496 is a gapful number since it is divisible by the number (46) 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 448136810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698471601696).

448136810496 is an abundant number, since it is smaller than the sum of its proper divisors (948806392896).

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

448136810496 is an equidigital number, since it uses as much as digits as its factorization.

448136810496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58786 (or 58755 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 448136810496 in words is "four hundred forty-eight billion, one hundred thirty-six million, eight hundred ten thousand, four hundred ninety-six".