198189837863712 has 144 divisors (see below), whose sum is σ = 583251886821240. Its totient is φ = 63761716924416.

The previous prime is 198189837863671. The next prime is 198189837863777. The reversal of 198189837863712 is 217368738981891.

198189837863712 is a `hidden beast` number, since 1 + 9 + 8 + 189 + 8 + 378 + 63 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 196289178584976 + 1900659278736 = 14010324^2 + 1378644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18285658 + ... + 27032294.

Almost surely, 2^{198189837863712} is an apocalyptic number.

198189837863712 is a gapful number since it is divisible by the number (12) 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 198189837863712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291625943410620).

198189837863712 is an abundant number, since it is smaller than the sum of its proper divisors (385062048957528).

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

198189837863712 is a wasteful number, since it uses less digits than its factorization.

198189837863712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8749395 (or 8749384 counting only the distinct ones).

The product of its digits is 1755758592, while the sum is 81.

The spelling of 198189837863712 in words is "one hundred ninety-eight trillion, one hundred eighty-nine billion, eight hundred thirty-seven million, eight hundred sixty-three thousand, seven hundred twelve".