4448891867904 has 432 divisors, whose sum is σ = 14147949763584. Its totient is φ = 1333300224000.

The previous prime is 4448891867891. The next prime is 4448891867929. The reversal of 4448891867904 is 4097681988444.

4448891867904 is a `hidden beast` number, since 4 + 448 + 8 + 91 + 8 + 6 + 7 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340289354 + ... + 2340291254.

It is an arithmetic number, because the mean of its divisors is an integer number (32749883712).

Almost surely, 2^{4448891867904} is an apocalyptic number.

4448891867904 is a gapful number since it is divisible by the number (44) 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 4448891867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073974881792).

4448891867904 is an abundant number, since it is smaller than the sum of its proper divisors (9699057895680).

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

4448891867904 is a wasteful number, since it uses less digits than its factorization.

4448891867904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 4448891867904 in words is "four trillion, four hundred forty-eight billion, eight hundred ninety-one million, eight hundred sixty-seven thousand, nine hundred four".