198362947417920 has 672 divisors, whose sum is σ = 692489889681408. Its totient is φ = 52111212281856.

The previous prime is 198362947417903. The next prime is 198362947417963. The reversal of 198362947417920 is 29714749263891.

198362947417920 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 62 + 9 + 474 + 1 + 7 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95046931117 + ... + 95046933203.

It is an arithmetic number, because the mean of its divisors is an integer number (1030490907264).

Almost surely, 2^{198362947417920} is an apocalyptic number.

198362947417920 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 198362947417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346244944840704).

198362947417920 is an abundant number, since it is smaller than the sum of its proper divisors (494126942263488).

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

198362947417920 is a wasteful number, since it uses less digits than its factorization.

198362947417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 198362947417920 in words is "one hundred ninety-eight trillion, three hundred sixty-two billion, nine hundred forty-seven million, four hundred seventeen thousand, nine hundred twenty".