198106321401216 has 640 divisors, whose sum is σ = 618490834790400. Its totient is φ = 62826477576192.

The previous prime is 198106321401167. The next prime is 198106321401223. The reversal of 198106321401216 is 612104123601891.

198106321401216 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 0 + 6 + 3 + 21 + 401 + 216 = 666.

It is a super-2 number, since 2×198106321401216² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97733753995 + ... + 97733756021.

It is an arithmetic number, because the mean of its divisors is an integer number (966391929360).

Almost surely, 2^{198106321401216} is an apocalyptic number.

198106321401216 is a gapful number since it is divisible by the number (16) 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 198106321401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309245417395200).

198106321401216 is an abundant number, since it is smaller than the sum of its proper divisors (420384513389184).

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

198106321401216 is a wasteful number, since it uses less digits than its factorization.

198106321401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 198106321401216 in words is "one hundred ninety-eight trillion, one hundred six billion, three hundred twenty-one million, four hundred one thousand, two hundred sixteen".