110222671406848 has 1152 divisors, whose sum is σ = 322161583564800. Its totient is φ = 36195753000960.

The previous prime is 110222671406843. The next prime is 110222671406923. The reversal of 110222671406848 is 848604176222011.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 110222671406795 and 110222671406804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110222671406843) 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 127 ways as a sum of consecutive naturals, for example, 72372075015 + ... + 72372076537.

It is an arithmetic number, because the mean of its divisors is an integer number (279654152400).

Almost surely, 2^{110222671406848} 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 110222671406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161080791782400).

110222671406848 is an abundant number, since it is smaller than the sum of its proper divisors (211938912157952).

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

110222671406848 is a wasteful number, since it uses less digits than its factorization.

110222671406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 110222671406848 in words is "one hundred ten trillion, two hundred twenty-two billion, six hundred seventy-one million, four hundred six thousand, eight hundred forty-eight".