1113639166080 has 2880 divisors, whose sum is σ = 5170385432520. Its totient is φ = 227412541440.

The previous prime is 1113639166021. The next prime is 1113639166099. The reversal of 1113639166080 is 806619363111.

1113639166080 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 6 + 39 + 1 + 6 + 608 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 316932969024 + 796706197056 = 562968^2 + 892584^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 27161930860 + ... + 27161930900.

Almost surely, 2^{1113639166080} is an apocalyptic number.

1113639166080 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 1113639166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585192716260).

1113639166080 is an abundant number, since it is smaller than the sum of its proper divisors (4056746266440).

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

1113639166080 is a wasteful number, since it uses less digits than its factorization.

1113639166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1113639166080 in words is "one trillion, one hundred thirteen billion, six hundred thirty-nine million, one hundred sixty-six thousand, eighty".