448446292056 has 960 divisors, whose sum is σ = 1619804736000. Its totient is φ = 116106395328.

The previous prime is 448446292039. The next prime is 448446292061. The reversal of 448446292056 is 650292644844.

448446292056 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 4 + 629 + 2 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×448446292056² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 448446291993 and 448446292011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19497664861 + ... + 19497664883.

It is an arithmetic number, because the mean of its divisors is an integer number (1687296600).

Almost surely, 2^448446292056 is an apocalyptic number.

448446292056 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 448446292056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809902368000).

448446292056 is an abundant number, since it is smaller than the sum of its proper divisors (1171358443944).

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

448446292056 is an frugal number, since it uses more digits than its factorization.

448446292056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 448446292056 in words is "four hundred forty-eight billion, four hundred forty-six million, two hundred ninety-two thousand, fifty-six".