110445827450112 has 1296 divisors, whose sum is σ = 436680608698880. Its totient is φ = 27177127464960.

The previous prime is 110445827450099. The next prime is 110445827450143. The reversal of 110445827450112 is 211054728544011.

110445827450112 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 4 + 5 + 82 + 7 + 450 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×110445827450112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1001058183 + ... + 1001168505.

Almost surely, 2^{110445827450112} is an apocalyptic number.

110445827450112 is a gapful number since it is divisible by the number (12) 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 110445827450112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218340304349440).

110445827450112 is an abundant number, since it is smaller than the sum of its proper divisors (326234781248768).

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

110445827450112 is a wasteful number, since it uses less digits than its factorization.

110445827450112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110402 (or 110365 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 110445827450112 in words is "one hundred ten trillion, four hundred forty-five billion, eight hundred twenty-seven million, four hundred fifty thousand, one hundred twelve".