198457143171840 has 576 divisors, whose sum is σ = 804910432005120. Its totient is φ = 45358450606080.

The previous prime is 198457143171829. The next prime is 198457143171841. The reversal of 198457143171840 is 48171341754891.

198457143171840 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 57 + 1 + 431 + 71 + 84 + 0 = 666.

198457143171840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (198457143171841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6294016875 + ... + 6294048405.

Almost surely, 2^{198457143171840} is an apocalyptic number.

198457143171840 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 198457143171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402455216002560).

198457143171840 is an abundant number, since it is smaller than the sum of its proper divisors (606453288833280).

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

198457143171840 is a wasteful number, since it uses less digits than its factorization.

198457143171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57585 (or 57565 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 198457143171840 in words is "one hundred ninety-eight trillion, four hundred fifty-seven billion, one hundred forty-three million, one hundred seventy-one thousand, eight hundred forty".