198864280448640 has 1792 divisors, whose sum is σ = 777044211138720. Its totient is φ = 48454541770752.

The previous prime is 198864280448621. The next prime is 198864280448653. The reversal of 198864280448640 is 46844082468891.

It is a happy number.

198864280448640 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 6 + 42 + 80 + 448 + 64 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 36471260252736 + 162393020195904 = 6039144^2 + 12743352^2 .

It is a super-3 number, since 3×198864280448640³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 40775941882 + ... + 40775946758.

Almost surely, 2^{198864280448640} is an apocalyptic number.

198864280448640 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 198864280448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388522105569360).

198864280448640 is an abundant number, since it is smaller than the sum of its proper divisors (578179930690080).

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

198864280448640 is an equidigital number, since it uses as much as digits as its factorization.

198864280448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 72.

The spelling of 198864280448640 in words is "one hundred ninety-eight trillion, eight hundred sixty-four billion, two hundred eighty million, four hundred forty-eight thousand, six hundred forty".