110213064094080 has 512 divisors, whose sum is σ = 360947612160000. Its totient is φ = 28593384947712.

The previous prime is 110213064094079. The next prime is 110213064094099. The reversal of 110213064094080 is 80490460312011.

It is a Cunningham number, because it is equal to 10498241²-1.

It is a super-2 number, since 2×110213064094080² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9385420689 + ... + 9385432431.

It is an arithmetic number, because the mean of its divisors is an integer number (704975805000).

Almost surely, 2^{110213064094080} is an apocalyptic number.

110213064094080 is a gapful number since it is divisible by the number (10) 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 110213064094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180473806080000).

110213064094080 is an abundant number, since it is smaller than the sum of its proper divisors (250734548065920).

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

110213064094080 is a wasteful number, since it uses less digits than its factorization.

110213064094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12586 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 110213064094080 in words is "one hundred ten trillion, two hundred thirteen billion, sixty-four million, ninety-four thousand, eighty".