198017495424 has 384 divisors, whose sum is σ = 691400880000. Its totient is φ = 55614698496.

The previous prime is 198017495407. The next prime is 198017495449. The reversal of 198017495424 is 424594710891.

198017495424 is a `hidden beast` number, since 1 + 9 + 80 + 17 + 4 + 9 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9981387 + ... + 10001205.

It is an arithmetic number, because the mean of its divisors is an integer number (1800523125).

Almost surely, 2^198017495424 is an apocalyptic number.

198017495424 is a gapful number since it is divisible by the number (14) 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 198017495424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345700440000).

198017495424 is an abundant number, since it is smaller than the sum of its proper divisors (493383384576).

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

198017495424 is a wasteful number, since it uses less digits than its factorization.

198017495424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19915 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 198017495424 in words is "one hundred ninety-eight billion, seventeen million, four hundred ninety-five thousand, four hundred twenty-four".