198704103642 has 640 divisors, whose sum is σ = 560021299200. Its totient is φ = 51937459200.

The previous prime is 198704103601. The next prime is 198704103671. The reversal of 198704103642 is 246301407891.

198704103642 is a `hidden beast` number, since 198 + 7 + 0 + 410 + 3 + 6 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2232630334 + ... + 2232630422.

It is an arithmetic number, because the mean of its divisors is an integer number (875033280).

Almost surely, 2^198704103642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198704103642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280010649600).

198704103642 is an abundant number, since it is smaller than the sum of its proper divisors (361317195558).

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

198704103642 is a wasteful number, since it uses less digits than its factorization.

198704103642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 198704103642 in words is "one hundred ninety-eight billion, seven hundred four million, one hundred three thousand, six hundred forty-two".