198640846172160 has 1872 divisors, whose sum is σ = 829841039419392. Its totient is φ = 43776914227200.

The previous prime is 198640846172159. The next prime is 198640846172227. The reversal of 198640846172160 is 61271648046891.

198640846172160 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 4 + 0 + 8 + 4 + 617 + 2 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85954497405 + ... + 85954499715.

It is an arithmetic number, because the mean of its divisors is an integer number (443291153536).

Almost surely, 2^{198640846172160} is an apocalyptic number.

198640846172160 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 198640846172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414920519709696).

198640846172160 is an abundant number, since it is smaller than the sum of its proper divisors (631200193247232).

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

198640846172160 is a wasteful number, since it uses less digits than its factorization.

198640846172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 198640846172160 in words is "one hundred ninety-eight trillion, six hundred forty billion, eight hundred forty-six million, one hundred seventy-two thousand, one hundred sixty".