448627346496000 has 2240 divisors, whose sum is σ = 1920747117459456. Its totient is φ = 102335643648000.

The previous prime is 448627346495987. The next prime is 448627346496011. The reversal of 448627346496000 is 694643726844.

It is a happy number.

448627346496000 is a `hidden beast` number, since 4 + 4 + 86 + 2 + 7 + 3 + 464 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 209345470929 + ... + 209345473071.

Almost surely, 2^{448627346496000} is an apocalyptic number.

448627346496000 is a gapful number since it is divisible by the number (40) 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 448627346496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960373558729728).

448627346496000 is an abundant number, since it is smaller than the sum of its proper divisors (1472119770963456).

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

448627346496000 is an frugal number, since it uses more digits than its factorization.

448627346496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 448627346496000 in words is "four hundred forty-eight trillion, six hundred twenty-seven billion, three hundred forty-six million, four hundred ninety-six thousand".