111951874105344 has 1344 divisors, whose sum is σ = 406632183310080. Its totient is φ = 28892221931520.

The previous prime is 111951874105333. The next prime is 111951874105349. The reversal of 111951874105344 is 443501478159111.

111951874105344 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 5 + 187 + 410 + 5 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (111951874105349) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 109649239554 + ... + 109649240574.

It is an arithmetic number, because the mean of its divisors is an integer number (302553707820).

Almost surely, 2^{111951874105344} is an apocalyptic number.

111951874105344 is a gapful number since it is divisible by the number (14) 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 111951874105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203316091655040).

111951874105344 is an abundant number, since it is smaller than the sum of its proper divisors (294680309204736).

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

111951874105344 is a wasteful number, since it uses less digits than its factorization.

111951874105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 111951874105344 in words is "one hundred eleven trillion, nine hundred fifty-one billion, eight hundred seventy-four million, one hundred five thousand, three hundred forty-four".