198157736448 has 600 divisors, whose sum is σ = 691770703008. Its totient is φ = 55548260352.

The previous prime is 198157736437. The next prime is 198157736449. The reversal of 198157736448 is 844637751891.

198157736448 is a `hidden beast` number, since 1 + 9 + 8 + 157 + 7 + 36 + 448 = 666.

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 (198157736449) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3738825190 + ... + 3738825242.

Almost surely, 2^198157736448 is an apocalyptic number.

198157736448 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 198157736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345885351504).

198157736448 is an abundant number, since it is smaller than the sum of its proper divisors (493612966560).

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

198157736448 is an frugal number, since it uses more digits than its factorization.

198157736448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 65 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 198157736448 in words is "one hundred ninety-eight billion, one hundred fifty-seven million, seven hundred thirty-six thousand, four hundred forty-eight".