448088965632 has 1280 divisors, whose sum is σ = 1725318144000. Its totient is φ = 114747494400.

The previous prime is 448088965619. The next prime is 448088965661. The reversal of 448088965632 is 236569880844.

448088965632 is a `hidden beast` number, since 4 + 480 + 8 + 8 + 96 + 5 + 63 + 2 = 666.

It is a super-2 number, since 2×448088965632² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 448088965632.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6311112157 + ... + 6311112227.

It is an arithmetic number, because the mean of its divisors is an integer number (1347904800).

Almost surely, 2^448088965632 is an apocalyptic number.

448088965632 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 448088965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862659072000).

448088965632 is an abundant number, since it is smaller than the sum of its proper divisors (1277229178368).

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

448088965632 is an frugal number, since it uses more digits than its factorization.

448088965632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 448088965632 in words is "four hundred forty-eight billion, eighty-eight million, nine hundred sixty-five thousand, six hundred thirty-two".