198693542317248 has 672 divisors, whose sum is σ = 676240999925760. Its totient is φ = 56692899993600.

The previous prime is 198693542317247. The next prime is 198693542317253. The reversal of 198693542317248 is 842713245396891.

198693542317248 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 9 + 3 + 542 + 3 + 1 + 72 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (198693542317247) 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, 675720465 + ... + 676014447.

Almost surely, 2^{198693542317248} is an apocalyptic number.

198693542317248 is a gapful number since it is divisible by the number (18) 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 198693542317248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338120499962880).

198693542317248 is an abundant number, since it is smaller than the sum of its proper divisors (477547457608512).

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

198693542317248 is a wasteful number, since it uses less digits than its factorization.

198693542317248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294114 (or 294067 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 198693542317248 in words is "one hundred ninety-eight trillion, six hundred ninety-three billion, five hundred forty-two million, three hundred seventeen thousand, two hundred forty-eight".