110319249100368 has 960 divisors, whose sum is σ = 366731627673600. Its totient is φ = 27966029414400.

The previous prime is 110319249100367. The next prime is 110319249100391. The reversal of 110319249100368 is 863001942913011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110319249100367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149281798143 + ... + 149281798881.

It is an arithmetic number, because the mean of its divisors is an integer number (382012112160).

Almost surely, 2^{110319249100368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110319249100368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183365813836800).

110319249100368 is an abundant number, since it is smaller than the sum of its proper divisors (256412378573232).

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

110319249100368 is a wasteful number, since it uses less digits than its factorization.

110319249100368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 110319249100368 in words is "one hundred ten trillion, three hundred nineteen billion, two hundred forty-nine million, one hundred thousand, three hundred sixty-eight".