198156710016 has 448 divisors, whose sum is σ = 621538909440. Its totient is φ = 62817638400.

The previous prime is 198156709999. The next prime is 198156710027. The reversal of 198156710016 is 610017651891.

198156710016 is a `hidden beast` number, since 1 + 9 + 81 + 567 + 1 + 0 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×198156710016² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 176452431 + ... + 176453553.

Almost surely, 2^198156710016 is an apocalyptic number.

198156710016 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 198156710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310769454720).

198156710016 is an abundant number, since it is smaller than the sum of its proper divisors (423382199424).

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

198156710016 is an equidigital number, since it uses as much as digits as its factorization.

198156710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 198156710016 in words is "one hundred ninety-eight billion, one hundred fifty-six million, seven hundred ten thousand, sixteen".