198381160000 has 315 divisors, whose sum is σ = 526578922837. Its totient is φ = 74114560000.

The previous prime is 198381159997. The next prime is 198381160013. The reversal of 198381160000 is 61183891.

The square root of 198381160000 is 445400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 96880297536 + 101500862464 = 311256^2 + 318592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1514359935 + ... + 1514360065.

Almost surely, 2^198381160000 is an apocalyptic number.

198381160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198381160000 is the 445400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198381160000

198381160000 is an abundant number, since it is smaller than the sum of its proper divisors (328197762837).

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

198381160000 is an frugal number, since it uses more digits than its factorization.

198381160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 198381160000 in words is "one hundred ninety-eight billion, three hundred eighty-one million, one hundred sixty thousand".