111006400344 has 128 divisors (see below), whose sum is σ = 327708487680. Its totient is φ = 30663360000.

The previous prime is 111006400331. The next prime is 111006400357. The reversal of 111006400344 is 443004600111.

It is an interprime number because it is at equal distance from previous prime (111006400331) and next prime (111006400357).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5682594 + ... + 5702094.

It is an arithmetic number, because the mean of its divisors is an integer number (2560222560).

Almost surely, 2^111006400344 is an apocalyptic number.

111006400344 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 111006400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163854243840).

111006400344 is an abundant number, since it is smaller than the sum of its proper divisors (216702087336).

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

111006400344 is a wasteful number, since it uses less digits than its factorization.

111006400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20641 (or 20637 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 111006400344 in words is "one hundred eleven billion, six million, four hundred thousand, three hundred forty-four".