111628173823344 has 160 divisors (see below), whose sum is σ = 321473465720640. Its totient is φ = 37086527351808.

The previous prime is 111628173823333. The next prime is 111628173823363. The reversal of 111628173823344 is 443328371826111.

111628173823344 is a `hidden beast` number, since 1 + 1 + 1 + 62 + 8 + 173 + 82 + 334 + 4 = 666.

It is a super-2 number, since 2×111628173823344² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218755762 + ... + 219265454.

It is an arithmetic number, because the mean of its divisors is an integer number (2009209160754).

Almost surely, 2^{111628173823344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111628173823344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160736732860320).

111628173823344 is an abundant number, since it is smaller than the sum of its proper divisors (209845291897296).

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

111628173823344 is a wasteful number, since it uses less digits than its factorization.

111628173823344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511384 (or 511372 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 111628173823344 in words is "one hundred eleven trillion, six hundred twenty-eight billion, one hundred seventy-three million, eight hundred twenty-three thousand, three hundred forty-four".