1116503635104 has 576 divisors, whose sum is σ = 3947338362240. Its totient is φ = 294298583040.

The previous prime is 1116503635103. The next prime is 1116503635109. The reversal of 1116503635104 is 4015363056111.

1116503635104 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 5 + 0 + 3 + 635 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1116503635103) 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 95 ways as a sum of consecutive naturals, for example, 151018032 + ... + 151025424.

It is an arithmetic number, because the mean of its divisors is an integer number (6853017990).

Almost surely, 2^{1116503635104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116503635104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973669181120).

1116503635104 is an abundant number, since it is smaller than the sum of its proper divisors (2830834727136).

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

1116503635104 is a wasteful number, since it uses less digits than its factorization.

1116503635104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7645 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1116503635104 in words is "one trillion, one hundred sixteen billion, five hundred three million, six hundred thirty-five thousand, one hundred four".