111945779946 has 576 divisors, whose sum is σ = 349347188736. Its totient is φ = 26404963200.

The previous prime is 111945779923. The next prime is 111945779969. The reversal of 111945779946 is 649977549111.

111945779946 is a `hidden beast` number, since 1 + 1 + 19 + 4 + 577 + 9 + 9 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (111945779923) and next prime (111945779969).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 241783311 + ... + 241783773.

It is an arithmetic number, because the mean of its divisors is an integer number (606505536).

Almost surely, 2^111945779946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111945779946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174673594368).

111945779946 is an abundant number, since it is smaller than the sum of its proper divisors (237401408790).

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

111945779946 is a wasteful number, since it uses less digits than its factorization.

111945779946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 570 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 111945779946 in words is "one hundred eleven billion, nine hundred forty-five million, seven hundred seventy-nine thousand, nine hundred forty-six".