998845137271800 has 2880 divisors, whose sum is σ = 4547659701150720. Its totient is φ = 201015703848960.

The previous prime is 998845137271763. The next prime is 998845137271801. The reversal of 998845137271800 is 8172731548899.

998845137271800 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 4 + 513 + 7 + 27 + 1 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998845137271801) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 87106049667 + ... + 87106061133.

It is an arithmetic number, because the mean of its divisors is an integer number (1579048507344).

Almost surely, 2^{998845137271800} is an apocalyptic number.

998845137271800 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 998845137271800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273829850575360).

998845137271800 is an abundant number, since it is smaller than the sum of its proper divisors (3548814563878920).

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

998845137271800 is a wasteful number, since it uses less digits than its factorization.

998845137271800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11912 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 998845137271800 in words is "nine hundred ninety-eight trillion, eight hundred forty-five billion, one hundred thirty-seven million, two hundred seventy-one thousand, eight hundred".