110944684741968 has 1800 divisors, whose sum is σ = 415383483041280. Its totient is φ = 27611115840000.

The previous prime is 110944684741951. The next prime is 110944684742071. The reversal of 110944684741968 is 869147486449011.

It is a happy number.

110944684741968 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 4 + 4 + 68 + 474 + 1 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 110944684741896 and 110944684741905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1098462225118 + ... + 1098462225218.

Almost surely, 2^{110944684741968} is an apocalyptic number.

110944684741968 is a gapful number since it is divisible by the number (18) 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 110944684741968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207691741520640).

110944684741968 is an abundant number, since it is smaller than the sum of its proper divisors (304438798299312).

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

110944684741968 is an frugal number, since it uses more digits than its factorization.

110944684741968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 110944684741968 in words is "one hundred ten trillion, nine hundred forty-four billion, six hundred eighty-four million, seven hundred forty-one thousand, nine hundred sixty-eight".