111061886431000 has 128 divisors (see below), whose sum is σ = 275195501568000. Its totient is φ = 41807986483200.

The previous prime is 111061886430961. The next prime is 111061886431007. The reversal of 111061886431000 is 134688160111.

It is a happy number.

It is a super-2 number, since 2×111061886431000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111061886431007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204561897 + ... + 205104103.

It is an arithmetic number, because the mean of its divisors is an integer number (2149964856000).

Almost surely, 2^{111061886431000} is an apocalyptic number.

111061886431000 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 111061886431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137597750784000).

111061886431000 is an abundant number, since it is smaller than the sum of its proper divisors (164133615137000).

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

111061886431000 is a wasteful number, since it uses less digits than its factorization.

111061886431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554294 (or 554280 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 111061886431000 in words is "one hundred eleven trillion, sixty-one billion, eight hundred eighty-six million, four hundred thirty-one thousand".