110803045905648 has 960 divisors, whose sum is σ = 368022445056000. Its totient is φ = 31770302423040.

The previous prime is 110803045905641. The next prime is 110803045905751. The reversal of 110803045905648 is 846509540308011.

It is a happy number.

110803045905648 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 0 + 3 + 0 + 4 + 590 + 5 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 110803045905594 and 110803045905603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110803045905641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28683157765 + ... + 28683161627.

It is an arithmetic number, because the mean of its divisors is an integer number (383356713600).

Almost surely, 2^{110803045905648} is an apocalyptic number.

110803045905648 is a gapful number since it is divisible by the number (18) 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 110803045905648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184011222528000).

110803045905648 is an abundant number, since it is smaller than the sum of its proper divisors (257219399150352).

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

110803045905648 is a wasteful number, since it uses less digits than its factorization.

110803045905648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 110803045905648 in words is "one hundred ten trillion, eight hundred three billion, forty-five million, nine hundred five thousand, six hundred forty-eight".