1098616541184 has 624 divisors, whose sum is σ = 3406365614080. Its totient is φ = 340561428480.

The previous prime is 1098616541167. The next prime is 1098616541207. The reversal of 1098616541184 is 4811456168901.

1098616541184 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 6 + 16 + 541 + 1 + 84 = 666.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1098616541184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3882037107 + ... + 3882037389.

Almost surely, 2^{1098616541184} 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 1098616541184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703182807040).

1098616541184 is an abundant number, since it is smaller than the sum of its proper divisors (2307749072896).

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

1098616541184 is a wasteful number, since it uses less digits than its factorization.

1098616541184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1098616541184 in words is "one trillion, ninety-eight billion, six hundred sixteen million, five hundred forty-one thousand, one hundred eighty-four".