448511079744 has 896 divisors, whose sum is σ = 1715400744960. Its totient is φ = 113071749120.

The previous prime is 448511079727. The next prime is 448511079749. The reversal of 448511079744 is 447970115844.

448511079744 is a `hidden beast` number, since 4 + 485 + 110 + 7 + 9 + 7 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448511079749) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292952259 + ... + 292953789.

It is an arithmetic number, because the mean of its divisors is an integer number (1914509760).

Almost surely, 2^448511079744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448511079744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857700372480).

448511079744 is an abundant number, since it is smaller than the sum of its proper divisors (1266889665216).

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

448511079744 is a wasteful number, since it uses less digits than its factorization.

448511079744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 448511079744 in words is "four hundred forty-eight billion, five hundred eleven million, seventy-nine thousand, seven hundred forty-four".