198146995200000 has 6720 divisors, whose sum is σ = 990116956958976. Its totient is φ = 38220595200000.

The previous prime is 198146995199999. The next prime is 198146995200001. The reversal of 198146995200000 is 2599641891.

198146995200000 is a `hidden beast` number, since 1 + 98 + 1 + 469 + 95 + 2 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (198146995199999) and next prime (198146995200001).

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-3 number, since 3×198146995200000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 198146995200000.

It is not an unprimeable number, because it can be changed into a prime (198146995200001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2714342399964 + ... + 2714342400036.

Almost surely, 2^{198146995200000} is an apocalyptic number.

198146995200000 is a gapful number since it is divisible by the number (10) 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 198146995200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495058478479488).

198146995200000 is an abundant number, since it is smaller than the sum of its proper divisors (791969961758976).

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

198146995200000 is an frugal number, since it uses more digits than its factorization.

198146995200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 198146995200000 in words is "one hundred ninety-eight trillion, one hundred forty-six billion, nine hundred ninety-five million, two hundred thousand".