198053781466128 has 800 divisors, whose sum is σ = 641745853422336. Its totient is φ = 52438353149952.

The previous prime is 198053781466127. The next prime is 198053781466139. The reversal of 198053781466128 is 821664187350891.

It is a super-2 number, since 2×198053781466128² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (198053781466127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 144882063301 + ... + 144882064667.

It is a 1-persistent number, because it is pandigital, but 2⋅198053781466128 = 396107562932256 is not.

Almost surely, 2^{198053781466128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198053781466128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320872926711168).

198053781466128 is an abundant number, since it is smaller than the sum of its proper divisors (443692071956208).

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

198053781466128 is a wasteful number, since it uses less digits than its factorization.

198053781466128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 198053781466128 in words is "one hundred ninety-eight trillion, fifty-three billion, seven hundred eighty-one million, four hundred sixty-six thousand, one hundred twenty-eight".