98181830160 has 200 divisors, whose sum is σ = 341210315160. Its totient is φ = 26165680128.

The previous prime is 98181830137. The next prime is 98181830171. The reversal of 98181830160 is 6103818189.

It can be written as a sum of positive squares in 4 ways, for example, as 36693701136 + 61488129024 = 191556^2 + 247968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13533094 + ... + 13540346.

Almost surely, 2^98181830160 is an apocalyptic number.

98181830160 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 98181830160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170605157580).

98181830160 is an abundant number, since it is smaller than the sum of its proper divisors (243028485000).

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

98181830160 is a wasteful number, since it uses less digits than its factorization.

98181830160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9367 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 98181830160 in words is "ninety-eight billion, one hundred eighty-one million, eight hundred thirty thousand, one hundred sixty".