1098961204068 has 576 divisors, whose sum is σ = 3857096355840. Its totient is φ = 255532299264.

The previous prime is 1098961204063. The next prime is 1098961204073. The reversal of 1098961204068 is 8604021698901.

1098961204068 is a `hidden beast` number, since 10 + 9 + 8 + 9 + 612 + 0 + 4 + 0 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1098961204063) and next prime (1098961204073).

It is not an unprimeable number, because it can be changed into a prime (1098961204063) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52959271 + ... + 52980017.

It is an arithmetic number, because the mean of its divisors is an integer number (6696347840).

Almost surely, 2^{1098961204068} is an apocalyptic number.

1098961204068 is a gapful number since it is divisible by the number (18) 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 1098961204068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928548177920).

1098961204068 is an abundant number, since it is smaller than the sum of its proper divisors (2758135151772).

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

1098961204068 is a wasteful number, since it uses less digits than its factorization.

1098961204068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20856 (or 20851 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1098961204068 in words is "one trillion, ninety-eight billion, nine hundred sixty-one million, two hundred four thousand, sixty-eight".