110111923152 has 320 divisors, whose sum is σ = 394894725120. Its totient is φ = 28539302400.

The previous prime is 110111923121. The next prime is 110111923177. The reversal of 110111923152 is 251329111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16728502 + ... + 16735082.

It is an arithmetic number, because the mean of its divisors is an integer number (1234046016).

Almost surely, 2^110111923152 is an apocalyptic number.

110111923152 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 110111923152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197447362560).

110111923152 is an abundant number, since it is smaller than the sum of its proper divisors (284782801968).

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

110111923152 is a wasteful number, since it uses less digits than its factorization.

110111923152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 110111923152 in words is "one hundred ten billion, one hundred eleven million, nine hundred twenty-three thousand, one hundred fifty-two".