111536591213376 has 1008 divisors, whose sum is σ = 395166283429632. Its totient is φ = 29450826547200.

The previous prime is 111536591213363. The next prime is 111536591213431. The reversal of 111536591213376 is 673312195635111.

111536591213376 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 3 + 6 + 59 + 1 + 213 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×111536591213376² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60915668781 + ... + 60915670611.

Almost surely, 2^{111536591213376} is an apocalyptic number.

111536591213376 is a gapful number since it is divisible by the number (16) 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 111536591213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197583141714816).

111536591213376 is an abundant number, since it is smaller than the sum of its proper divisors (283629692216256).

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

111536591213376 is a wasteful number, since it uses less digits than its factorization.

111536591213376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2778 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The spelling of 111536591213376 in words is "one hundred eleven trillion, five hundred thirty-six billion, five hundred ninety-one million, two hundred thirteen thousand, three hundred seventy-six".