111966683136 has 456 divisors, whose sum is σ = 381110511744. Its totient is φ = 28405923840.

The previous prime is 111966683123. The next prime is 111966683207. The reversal of 111966683136 is 631386669111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2603876331 + ... + 2603876373.

Almost surely, 2^111966683136 is an apocalyptic number.

111966683136 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 111966683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190555255872).

111966683136 is an abundant number, since it is smaller than the sum of its proper divisors (269143828608).

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

111966683136 is an frugal number, since it uses more digits than its factorization.

111966683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 66 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The spelling of 111966683136 in words is "one hundred eleven billion, nine hundred sixty-six million, six hundred eighty-three thousand, one hundred thirty-six".