110871214080 has 768 divisors, whose sum is σ = 404190259200. Its totient is φ = 25714360320.

The previous prime is 110871214049. The next prime is 110871214081. The reversal of 110871214080 is 80412178011.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×110871214080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110871214081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1335797719 + ... + 1335797801.

It is an arithmetic number, because the mean of its divisors is an integer number (526289400).

Almost surely, 2^110871214080 is an apocalyptic number.

110871214080 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 110871214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202095129600).

110871214080 is an abundant number, since it is smaller than the sum of its proper divisors (293319045120).

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

110871214080 is a wasteful number, since it uses less digits than its factorization.

110871214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The spelling of 110871214080 in words is "one hundred ten billion, eight hundred seventy-one million, two hundred fourteen thousand, eighty".