110448867456 has 384 divisors, whose sum is σ = 341877594240. Its totient is φ = 34140733440.

The previous prime is 110448867439. The next prime is 110448867493. The reversal of 110448867456 is 654768844011.

110448867456 is a `hidden beast` number, since 1 + 1 + 0 + 448 + 86 + 74 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 318296275 + ... + 318296621.

It is an arithmetic number, because the mean of its divisors is an integer number (890306235).

Almost surely, 2^110448867456 is an apocalyptic number.

110448867456 is a gapful number since it is divisible by the number (16) 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 110448867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170938797120).

110448867456 is an abundant number, since it is smaller than the sum of its proper divisors (231428726784).

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

110448867456 is a wasteful number, since it uses less digits than its factorization.

110448867456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 110448867456 in words is "one hundred ten billion, four hundred forty-eight million, eight hundred sixty-seven thousand, four hundred fifty-six".