197948735488 has 360 divisors, whose sum is σ = 502235579412. Its totient is φ = 77686898688.

The previous prime is 197948735477. The next prime is 197948735527. The reversal of 197948735488 is 884537849791.

It can be written as a sum of positive squares in 2 ways, for example, as 171356258304 + 26592477184 = 413952^2 + 163072^2 .

Its product of digits (487710720) is a multiple of the sum of its prime divisors (63).

It is a self number, because there is not a number n which added to its sum of digits gives 197948735488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5349965806 + ... + 5349965842.

Almost surely, 2^197948735488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197948735488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251117789706).

197948735488 is an abundant number, since it is smaller than the sum of its proper divisors (304286843924).

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

197948735488 is an frugal number, since it uses more digits than its factorization.

197948735488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 63 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 73.

The spelling of 197948735488 in words is "one hundred ninety-seven billion, nine hundred forty-eight million, seven hundred thirty-five thousand, four hundred eighty-eight".