198668650752 has 864 divisors, whose sum is σ = 728969020416. Its totient is φ = 53100748800.

The previous prime is 198668650751. The next prime is 198668650787. The reversal of 198668650752 is 257056866891.

198668650752 is a `hidden beast` number, since 19 + 8 + 6 + 68 + 6 + 507 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 198668650752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198668650751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204601627 + ... + 204602597.

It is an arithmetic number, because the mean of its divisors is an integer number (843714144).

Almost surely, 2^198668650752 is an apocalyptic number.

198668650752 is a gapful number since it is divisible by the number (12) 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 198668650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364484510208).

198668650752 is an abundant number, since it is smaller than the sum of its proper divisors (530300369664).

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

198668650752 is a wasteful number, since it uses less digits than its factorization.

198668650752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 198668650752 in words is "one hundred ninety-eight billion, six hundred sixty-eight million, six hundred fifty thousand, seven hundred fifty-two".