1098258955668 has 144 divisors (see below), whose sum is σ = 3192409584000. Its totient is φ = 311845883904.

The previous prime is 1098258955639. The next prime is 1098258955669. The reversal of 1098258955668 is 8665598528901.

1098258955668 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 2 + 5 + 8 + 9 + 556 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1098258955596 and 1098258955605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098258955669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85202568 + ... + 85215456.

It is an arithmetic number, because the mean of its divisors is an integer number (22169511000).

Almost surely, 2^{1098258955668} is an apocalyptic number.

1098258955668 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 1098258955668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596204792000).

1098258955668 is an abundant number, since it is smaller than the sum of its proper divisors (2094150628332).

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

1098258955668 is a wasteful number, since it uses less digits than its factorization.

1098258955668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14974 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 72.

The spelling of 1098258955668 in words is "one trillion, ninety-eight billion, two hundred fifty-eight million, nine hundred fifty-five thousand, six hundred sixty-eight".