198246046247424 has 1280 divisors, whose sum is σ = 707052345753600. Its totient is φ = 53647250227200.

The previous prime is 198246046247393. The next prime is 198246046247467. The reversal of 198246046247424 is 424742640642891.

198246046247424 is a `hidden beast` number, since 1 + 9 + 8 + 24 + 60 + 4 + 62 + 474 + 24 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73779695809 + ... + 73779698495.

It is an arithmetic number, because the mean of its divisors is an integer number (552384645120).

Almost surely, 2^{198246046247424} is an apocalyptic number.

198246046247424 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 198246046247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353526172876800).

198246046247424 is an abundant number, since it is smaller than the sum of its proper divisors (508806299506176).

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

198246046247424 is a wasteful number, since it uses less digits than its factorization.

198246046247424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 198246046247424 in words is "one hundred ninety-eight trillion, two hundred forty-six billion, forty-six million, two hundred forty-seven thousand, four hundred twenty-four".