448138506312 has 384 divisors, whose sum is σ = 1455906816000. Its totient is φ = 126496919808.

The previous prime is 448138506269. The next prime is 448138506331. The reversal of 448138506312 is 213605831844.

448138506312 is a `hidden beast` number, since 4 + 4 + 8 + 1 + 3 + 8 + 5 + 0 + 631 + 2 = 666.

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, 603147013 + ... + 603147755.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424000).

Almost surely, 2^448138506312 is an apocalyptic number.

448138506312 is a gapful number since it is divisible by the number (42) 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 448138506312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727953408000).

448138506312 is an abundant number, since it is smaller than the sum of its proper divisors (1007768309688).

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

448138506312 is a wasteful number, since it uses less digits than its factorization.

448138506312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 448138506312 in words is "four hundred forty-eight billion, one hundred thirty-eight million, five hundred six thousand, three hundred twelve".