110399845248 has 768 divisors, whose sum is σ = 422750016000. Its totient is φ = 26772111360.

The previous prime is 110399845247. The next prime is 110399845307. The reversal of 110399845248 is 842548993011.

It is a happy number.

110399845248 is a `hidden beast` number, since 1 + 1 + 0 + 39 + 9 + 84 + 524 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 110399845194 and 110399845203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110399845247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269926068 + ... + 269926476.

It is an arithmetic number, because the mean of its divisors is an integer number (550455750).

Almost surely, 2^110399845248 is an apocalyptic number.

110399845248 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 110399845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211375008000).

110399845248 is an abundant number, since it is smaller than the sum of its proper divisors (312350170752).

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

110399845248 is a wasteful number, since it uses less digits than its factorization.

110399845248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 110399845248 in words is "one hundred ten billion, three hundred ninety-nine million, eight hundred forty-five thousand, two hundred forty-eight".