110975006831616 has 616 divisors, whose sum is σ = 345893976806400. Its totient is φ = 35527775109120.

The previous prime is 110975006831551. The next prime is 110975006831653. The reversal of 110975006831616 is 616138600579011.

110975006831616 is a `hidden beast` number, since 1 + 1 + 0 + 97 + 500 + 6 + 8 + 31 + 6 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4134827925 + ... + 4134854763.

Almost surely, 2^{110975006831616} is an apocalyptic number.

110975006831616 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 110975006831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172946988403200).

110975006831616 is an abundant number, since it is smaller than the sum of its proper divisors (234918969974784).

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

110975006831616 is an equidigital number, since it uses as much as digits as its factorization.

110975006831616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27097 (or 27064 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 110975006831616 in words is "one hundred ten trillion, nine hundred seventy-five billion, six million, eight hundred thirty-one thousand, six hundred sixteen".