198178180200000 has 6720 divisors, whose sum is σ = 1003877224745472. Its totient is φ = 37635840000000.

The previous prime is 198178180199959. The next prime is 198178180200023. The reversal of 198178180200000 is 2081871891.

It is a happy number.

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

It is a super-2 number, since 2×198178180200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1962160199950 + ... + 1962160200050.

Almost surely, 2^{198178180200000} is an apocalyptic number.

198178180200000 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 198178180200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501938612372736).

198178180200000 is an abundant number, since it is smaller than the sum of its proper divisors (805699044545472).

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

198178180200000 is an equidigital number, since it uses as much as digits as its factorization.

198178180200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 198178180200000 in words is "one hundred ninety-eight trillion, one hundred seventy-eight billion, one hundred eighty million, two hundred thousand".