1998858716100 has 405 divisors, whose sum is σ = 6783408487933. Its totient is φ = 509107325760.

The previous prime is 1998858716081. The next prime is 1998858716161. The reversal of 1998858716100 is 16178588991.

The square root of 1998858716100 is 1413810.

It is a perfect power (a square), and thus also a powerful number.

1998858716100 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 8 + 5 + 8 + 7 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 719589137796 + 1279269578304 = 848286^2 + 1131048^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2926586359 + ... + 2926587041.

Almost surely, 2^{1998858716100} is an apocalyptic number.

1998858716100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1998858716100 is the 1413810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998858716100

1998858716100 is an abundant number, since it is smaller than the sum of its proper divisors (4784549771833).

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

1998858716100 is an equidigital number, since it uses as much as digits as its factorization.

1998858716100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 63.

The spelling of 1998858716100 in words is "one trillion, nine hundred ninety-eight billion, eight hundred fifty-eight million, seven hundred sixteen thousand, one hundred".