110223057672 has 384 divisors, whose sum is σ = 374269109760. Its totient is φ = 28531077120.

The previous prime is 110223057653. The next prime is 110223057731. The reversal of 110223057672 is 276750322011.

110223057672 is a `hidden beast` number, since 1 + 10 + 2 + 2 + 3 + 0 + 576 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 145604718 + ... + 145605474.

It is an arithmetic number, because the mean of its divisors is an integer number (974659140).

Almost surely, 2^110223057672 is an apocalyptic number.

110223057672 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 110223057672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187134554880).

110223057672 is an abundant number, since it is smaller than the sum of its proper divisors (264046052088).

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

110223057672 is a wasteful number, since it uses less digits than its factorization.

110223057672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 110223057672 its reverse (276750322011), we get a palindrome (386973379683).

The spelling of 110223057672 in words is "one hundred ten billion, two hundred twenty-three million, fifty-seven thousand, six hundred seventy-two".