9098174666880 has 768 divisors, whose sum is σ = 34564221750240. Its totient is φ = 2191432089600.

The previous prime is 9098174666863. The next prime is 9098174666897. The reversal of 9098174666880 is 886664718909.

It is an interprime number because it is at equal distance from previous prime (9098174666863) and next prime (9098174666897).

It can be written as a sum of positive squares in 16 ways, for example, as 3116863135296 + 5981311531584 = 1765464^2 + 2445672^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9098174666799 and 9098174666808.

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, 1591421782 + ... + 1591427498.

Almost surely, 2^{9098174666880} is an apocalyptic number.

9098174666880 is a gapful number since it is divisible by the number (90) 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 9098174666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282110875120).

9098174666880 is an abundant number, since it is smaller than the sum of its proper divisors (25466047083360).

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

9098174666880 is a wasteful number, since it uses less digits than its factorization.

9098174666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 9098174666880 in words is "nine trillion, ninety-eight billion, one hundred seventy-four million, six hundred sixty-six thousand, eight hundred eighty".