448190611416 has 96 divisors (see below), whose sum is σ = 1248339699360. Its totient is φ = 145162838016.

The previous prime is 448190611403. The next prime is 448190611417. The reversal of 448190611416 is 614116091844.

448190611416 is a `hidden beast` number, since 4 + 4 + 8 + 19 + 0 + 611 + 4 + 16 = 666.

It is a super-2 number, since 2×448190611416² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448190611417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1866136 + ... + 2092568.

It is an arithmetic number, because the mean of its divisors is an integer number (13003538535).

Almost surely, 2^448190611416 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 448190611416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624169849680).

448190611416 is an abundant number, since it is smaller than the sum of its proper divisors (800149087944).

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

448190611416 is a wasteful number, since it uses less digits than its factorization.

448190611416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227225 (or 227218 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 448190611416 in words is "four hundred forty-eight billion, one hundred ninety million, six hundred eleven thousand, four hundred sixteen".