111013280480256 has 1056 divisors, whose sum is σ = 376529144302080. Its totient is φ = 28461904035840.

The previous prime is 111013280480203. The next prime is 111013280480269. The reversal of 111013280480256 is 652084082310111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 103847782890 + ... + 103847783958.

It is an arithmetic number, because the mean of its divisors is an integer number (356561689680).

Almost surely, 2^{111013280480256} is an apocalyptic number.

111013280480256 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 111013280480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188264572151040).

111013280480256 is an abundant number, since it is smaller than the sum of its proper divisors (265515863821824).

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

111013280480256 is a wasteful number, since it uses less digits than its factorization.

111013280480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 111013280480256 in words is "one hundred eleven trillion, thirteen billion, two hundred eighty million, four hundred eighty thousand, two hundred fifty-six".