110945759616 has 384 divisors, whose sum is σ = 338547955200. Its totient is φ = 36158773248.

The previous prime is 110945759599. The next prime is 110945759653. The reversal of 110945759616 is 616957549011.

110945759616 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 4 + 575 + 9 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400526070 + ... + 400526346.

It is an arithmetic number, because the mean of its divisors is an integer number (881635300).

Almost surely, 2^110945759616 is an apocalyptic number.

110945759616 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 110945759616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169273977600).

110945759616 is an abundant number, since it is smaller than the sum of its proper divisors (227602195584).

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

110945759616 is an equidigital number, since it uses as much as digits as its factorization.

110945759616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 110945759616 in words is "one hundred ten billion, nine hundred forty-five million, seven hundred fifty-nine thousand, six hundred sixteen".