198227307944064 has 256 divisors, whose sum is σ = 615819387617280. Its totient is φ = 55313547190272.

The previous prime is 198227307944023. The next prime is 198227307944069. The reversal of 198227307944064 is 460449703722891.

It is a super-2 number, since 2×198227307944064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198227307943986 and 198227307944004.

It is not an unprimeable number, because it can be changed into a prime (198227307944069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190778724 + ... + 1190945180.

It is an arithmetic number, because the mean of its divisors is an integer number (2405544482880).

Almost surely, 2^{198227307944064} is an apocalyptic number.

198227307944064 is a gapful number since it is divisible by the number (14) 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 198227307944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307909693808640).

198227307944064 is an abundant number, since it is smaller than the sum of its proper divisors (417592079673216).

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

198227307944064 is a wasteful number, since it uses less digits than its factorization.

198227307944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176827 (or 176815 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 198227307944064 in words is "one hundred ninety-eight trillion, two hundred twenty-seven billion, three hundred seven million, nine hundred forty-four thousand, sixty-four".