109781344284480 has 1792 divisors, whose sum is σ = 441764559313920. Its totient is φ = 25747303956480.

The previous prime is 109781344284457. The next prime is 109781344284497. The reversal of 109781344284480 is 84482443187901.

109781344284480 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 8 + 1 + 34 + 42 + 84 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54973130842 + ... + 54973132838.

Almost surely, 2^{109781344284480} is an apocalyptic number.

109781344284480 is a gapful number since it is divisible by the number (10) 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 109781344284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220882279656960).

109781344284480 is an abundant number, since it is smaller than the sum of its proper divisors (331983215029440).

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

109781344284480 is a wasteful number, since it uses less digits than its factorization.

109781344284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 109781344284480 in words is "one hundred nine trillion, seven hundred eighty-one billion, three hundred forty-four million, two hundred eighty-four thousand, four hundred eighty".