109865984256 has 864 divisors, whose sum is σ = 404744704000. Its totient is φ = 29628426240.

The previous prime is 109865984171. The next prime is 109865984257. The reversal of 109865984256 is 652489568901.

109865984256 is a `hidden beast` number, since 10 + 9 + 8 + 6 + 598 + 4 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 109865984193 and 109865984202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109865984257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405409401 + ... + 405409671.

Almost surely, 2^109865984256 is an apocalyptic number.

109865984256 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 109865984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202372352000).

109865984256 is an abundant number, since it is smaller than the sum of its proper divisors (294878719744).

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

109865984256 is an frugal number, since it uses more digits than its factorization.

109865984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 109865984256 in words is "one hundred nine billion, eight hundred sixty-five million, nine hundred eighty-four thousand, two hundred fifty-six".