198042452496 has 240 divisors, whose sum is σ = 668088281280. Its totient is φ = 55999641600.

The previous prime is 198042452477. The next prime is 198042452497. The reversal of 198042452496 is 694254240891.

198042452496 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 4 + 24 + 524 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (198042452497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2005071 + ... + 2101521.

It is an arithmetic number, because the mean of its divisors is an integer number (2783701172).

Almost surely, 2^198042452496 is an apocalyptic number.

198042452496 is a gapful number since it is divisible by the number (16) 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 198042452496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334044140640).

198042452496 is an abundant number, since it is smaller than the sum of its proper divisors (470045828784).

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

198042452496 is a wasteful number, since it uses less digits than its factorization.

198042452496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96579 (or 96560 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 198042452496 in words is "one hundred ninety-eight billion, forty-two million, four hundred fifty-two thousand, four hundred ninety-six".