1098187048448 has 640 divisors, whose sum is σ = 2919747409920. Its totient is φ = 401481400320.

The previous prime is 1098187048447. The next prime is 1098187048451. The reversal of 1098187048448 is 8448407818901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098187048447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2478977315 + ... + 2478977757.

It is an arithmetic number, because the mean of its divisors is an integer number (4562105328).

Almost surely, 2^{1098187048448} 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 1098187048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459873704960).

1098187048448 is an abundant number, since it is smaller than the sum of its proper divisors (1821560361472).

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

1098187048448 is a wasteful number, since it uses less digits than its factorization.

1098187048448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 62.

The spelling of 1098187048448 in words is "one trillion, ninety-eight billion, one hundred eighty-seven million, forty-eight thousand, four hundred forty-eight".