1098546645504 has 960 divisors, whose sum is σ = 3981083230080. Its totient is φ = 265232056320.

The previous prime is 1098546645491. The next prime is 1098546645527. The reversal of 1098546645504 is 4055466458901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1252618314 + ... + 1252619190.

It is an arithmetic number, because the mean of its divisors is an integer number (4146961698).

Almost surely, 2^{1098546645504} is an apocalyptic number.

1098546645504 is a gapful number since it is divisible by the number (14) 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 1098546645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990541615040).

1098546645504 is an abundant number, since it is smaller than the sum of its proper divisors (2882536584576).

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

1098546645504 is a wasteful number, since it uses less digits than its factorization.

1098546645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 1098546645504 in words is "one trillion, ninety-eight billion, five hundred forty-six million, six hundred forty-five thousand, five hundred four".