110891664016 has 75 divisors (see below), whose sum is σ = 250794064131. Its totient is φ = 47497026528.

The previous prime is 110891663983. The next prime is 110891664019. The reversal of 110891664016 is 610466198011.

The square root of 110891664016 is 333004.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×110891664016² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110891664019) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 65267935 + ... + 65269633.

Almost surely, 2^110891664016 is an apocalyptic number.

110891664016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

110891664016 is the 333004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110891664016

110891664016 is an abundant number, since it is smaller than the sum of its proper divisors (139902400115).

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

110891664016 is an frugal number, since it uses more digits than its factorization.

110891664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 110891664016 in words is "one hundred ten billion, eight hundred ninety-one million, six hundred sixty-four thousand, sixteen".