110021466016 has 192 divisors, whose sum is σ = 272404629504. Its totient is φ = 42494284800.

The previous prime is 110021465999. The next prime is 110021466029. The reversal of 110021466016 is 610664120011.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 225916525 + ... + 225917011.

It is an arithmetic number, because the mean of its divisors is an integer number (1418774112).

Almost surely, 2^110021466016 is an apocalyptic number.

110021466016 is a gapful number since it is divisible by the number (16) 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 110021466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136202314752).

110021466016 is an abundant number, since it is smaller than the sum of its proper divisors (162383163488).

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

110021466016 is a wasteful number, since it uses less digits than its factorization.

110021466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 110021466016 its reverse (610664120011), we get a palindrome (720685586027).

The spelling of 110021466016 in words is "one hundred ten billion, twenty-one million, four hundred sixty-six thousand, sixteen".