111342434457600 has 576 divisors, whose sum is σ = 426762360460800. Its totient is φ = 28400380968960.

The previous prime is 111342434457533. The next prime is 111342434457619. The reversal of 111342434457600 is 6754434243111.

111342434457600 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 2 + 4 + 34 + 4 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 30044269 + ... + 33546131.

It is an arithmetic number, because the mean of its divisors is an integer number (740906875800).

Almost surely, 2^{111342434457600} is an apocalyptic number.

111342434457600 is a gapful number since it is divisible by the number (10) 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 111342434457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213381180230400).

111342434457600 is an abundant number, since it is smaller than the sum of its proper divisors (315419926003200).

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

111342434457600 is a wasteful number, since it uses less digits than its factorization.

111342434457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501927 (or 3501896 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 111342434457600 in words is "one hundred eleven trillion, three hundred forty-two billion, four hundred thirty-four million, four hundred fifty-seven thousand, six hundred".