198714933099648 has 864 divisors, whose sum is σ = 731364368368140. Its totient is φ = 53435760279552.

The previous prime is 198714933099643. The next prime is 198714933099649. The reversal of 198714933099648 is 846990339417891.

198714933099648 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 1 + 493 + 30 + 9 + 96 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198622570595904 + 92362503744 = 14093352^2 + 303912^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (198714933099643) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 699418036 + ... + 699702092.

Almost surely, 2^{198714933099648} is an apocalyptic number.

198714933099648 is a gapful number since it is divisible by the number (18) 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 198714933099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365682184184070).

198714933099648 is an abundant number, since it is smaller than the sum of its proper divisors (532649435268492).

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

198714933099648 is an frugal number, since it uses more digits than its factorization.

198714933099648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284126 (or 284086 counting only the distinct ones).

The product of its (nonzero) digits is 2539579392, while the sum is 81.

The spelling of 198714933099648 in words is "one hundred ninety-eight trillion, seven hundred fourteen billion, nine hundred thirty-three million, ninety-nine thousand, six hundred forty-eight".