111413436444 has 288 divisors, whose sum is σ = 319604812800. Its totient is φ = 33802272000.

The previous prime is 111413436439. The next prime is 111413436467. The reversal of 111413436444 is 444634314111.

111413436444 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 1 + 3 + 4 + 3 + 644 + 4 = 666.

It is a super-2 number, since 2×111413436444² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111413436399 and 111413436408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148353069 + ... + 148353819.

Almost surely, 2^111413436444 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 111413436444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159802406400).

111413436444 is an abundant number, since it is smaller than the sum of its proper divisors (208191376356).

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

111413436444 is a wasteful number, since it uses less digits than its factorization.

111413436444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1081 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 111413436444 in words is "one hundred eleven billion, four hundred thirteen million, four hundred thirty-six thousand, four hundred forty-four".