111843763416 has 1024 divisors, whose sum is σ = 431308800000. Its totient is φ = 26519270400.

The previous prime is 111843763399. The next prime is 111843763469. The reversal of 111843763416 is 614367348111.

It is a happy number.

111843763416 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 4 + 3 + 7 + 634 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 480016036 + ... + 480016268.

It is an arithmetic number, because the mean of its divisors is an integer number (421200000).

Almost surely, 2^111843763416 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 111843763416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654400000).

111843763416 is an abundant number, since it is smaller than the sum of its proper divisors (319465036584).

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

111843763416 is a wasteful number, since it uses less digits than its factorization.

111843763416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 111843763416 in words is "one hundred eleven billion, eight hundred forty-three million, seven hundred sixty-three thousand, four hundred sixteen".