111264804480 has 256 divisors, whose sum is σ = 359712057600. Its totient is φ = 29250158592.

The previous prime is 111264804473. The next prime is 111264804481. The reversal of 111264804480 is 84408462111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (111264804481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54567301 + ... + 54569339.

It is an arithmetic number, because the mean of its divisors is an integer number (1405125225).

Almost surely, 2^111264804480 is an apocalyptic number.

111264804480 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 111264804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179856028800).

111264804480 is an abundant number, since it is smaller than the sum of its proper divisors (248447253120).

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

111264804480 is a wasteful number, since it uses less digits than its factorization.

111264804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 111264804480 in words is "one hundred eleven billion, two hundred sixty-four million, eight hundred four thousand, four hundred eighty".