110399210496 has 220 divisors, whose sum is σ = 334208032092. Its totient is φ = 36293640192.

The previous prime is 110399210489. The next prime is 110399210513. The reversal of 110399210496 is 694012993011.

110399210496 is a `hidden beast` number, since 1 + 1 + 0 + 399 + 210 + 49 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66440217600 + 43958992896 = 257760^2 + 209664^2 .

It is a super-4 number, since 4×110399210496⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6045796 + ... + 6064028.

Almost surely, 2^110399210496 is an apocalyptic number.

110399210496 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 110399210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167104016046).

110399210496 is an abundant number, since it is smaller than the sum of its proper divisors (223808821596).

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

110399210496 is an equidigital number, since it uses as much as digits as its factorization.

110399210496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18338 (or 18311 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 110399210496 in words is "one hundred ten billion, three hundred ninety-nine million, two hundred ten thousand, four hundred ninety-six".