1113217781760 has 1404 divisors, whose sum is σ = 4712456702772. Its totient is φ = 242342166528.

The previous prime is 1113217781719. The next prime is 1113217781801. The reversal of 1113217781760 is 671877123111.

1113217781760 is a `hidden beast` number, since 111 + 321 + 77 + 81 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1113217781719) and next prime (1113217781801).

It can be written as a sum of positive squares in 2 ways, for example, as 309598765056 + 803619016704 = 556416^2 + 896448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 4777758604 + ... + 4777758836.

It is an arithmetic number, because the mean of its divisors is an integer number (3356450643).

Almost surely, 2^{1113217781760} is an apocalyptic number.

1113217781760 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 1113217781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356228351386).

1113217781760 is an abundant number, since it is smaller than the sum of its proper divisors (3599238921012).

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

1113217781760 is a wasteful number, since it uses less digits than its factorization.

1113217781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 45.

The spelling of 1113217781760 in words is "one trillion, one hundred thirteen billion, two hundred seventeen million, seven hundred eighty-one thousand, seven hundred sixty".