198382156486800 has 960 divisors, whose sum is σ = 804173841580032. Its totient is φ = 41093268480000.

The previous prime is 198382156486783. The next prime is 198382156486837. The reversal of 198382156486800 is 8684651283891.

It is a super-3 number, since 3×198382156486800³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121540090 + ... + 123161510.

Almost surely, 2^{198382156486800} is an apocalyptic number.

198382156486800 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 198382156486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402086920790016).

198382156486800 is an abundant number, since it is smaller than the sum of its proper divisors (605791685093232).

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

198382156486800 is a wasteful number, since it uses less digits than its factorization.

198382156486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621520 (or 1621509 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 69.

The spelling of 198382156486800 in words is "one hundred ninety-eight trillion, three hundred eighty-two billion, one hundred fifty-six million, four hundred eighty-six thousand, eight hundred".