110338008227328 has 480 divisors, whose sum is σ = 375585013520640. Its totient is φ = 28567399956480.

The previous prime is 110338008227267. The next prime is 110338008227371. The reversal of 110338008227328 is 823722800833011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31213008 + ... + 34567728.

It is an arithmetic number, because the mean of its divisors is an integer number (782468778168).

Almost surely, 2^{110338008227328} 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 110338008227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187792506760320).

110338008227328 is an abundant number, since it is smaller than the sum of its proper divisors (265247005293312).

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

110338008227328 is a wasteful number, since it uses less digits than its factorization.

110338008227328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354798 (or 3354775 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 110338008227328 in words is "one hundred ten trillion, three hundred thirty-eight billion, eight million, two hundred twenty-seven thousand, three hundred twenty-eight".