111945890863872 has 324 divisors, whose sum is σ = 355235423363184. Its totient is φ = 33880211988480.

The previous prime is 111945890863867. The next prime is 111945890863889. The reversal of 111945890863872 is 278368098549111.

It is a happy number.

111945890863872 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 4 + 589 + 0 + 8 + 6 + 38 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 111945890863872.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21395373 + ... + 26108499.

It is a 1-persistent number, because it is pandigital, but 2⋅111945890863872 = 223891781727744 is not.

Almost surely, 2^{111945890863872} is an apocalyptic number.

111945890863872 is a gapful number since it is divisible by the number (12) 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 111945890863872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177617711681592).

111945890863872 is an abundant number, since it is smaller than the sum of its proper divisors (243289532499312).

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

111945890863872 is a wasteful number, since it uses less digits than its factorization.

111945890863872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713236 (or 4713206 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 111945890863872 in words is "one hundred eleven trillion, nine hundred forty-five billion, eight hundred ninety million, eight hundred sixty-three thousand, eight hundred seventy-two".