198148192704 has 1120 divisors, whose sum is σ = 770425159680. Its totient is φ = 48858163200.

The previous prime is 198148192687. The next prime is 198148192777. The reversal of 198148192704 is 407291841891.

198148192704 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 481 + 92 + 70 + 4 = 666.

It is a super-3 number, since 3×198148192704³ (a number of 35 digits) contains 333 as substring.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 829071817 + ... + 829072055.

Almost surely, 2^198148192704 is an apocalyptic number.

198148192704 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 198148192704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385212579840).

198148192704 is an abundant number, since it is smaller than the sum of its proper divisors (572276966976).

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

198148192704 is a wasteful number, since it uses less digits than its factorization.

198148192704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 198148192704 in words is "one hundred ninety-eight billion, one hundred forty-eight million, one hundred ninety-two thousand, seven hundred four".