195658040448 has 192 divisors, whose sum is σ = 621126749880. Its totient is φ = 58733936640.

The previous prime is 195658040437. The next prime is 195658040491. The reversal of 195658040448 is 844040856591.

195658040448 is a `hidden beast` number, since 1 + 9 + 56 + 580 + 4 + 0 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138437573184 + 57220467264 = 372072^2 + 239208^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 195658040394 and 195658040403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454690 + ... + 773342.

Almost surely, 2^195658040448 is an apocalyptic number.

195658040448 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 195658040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310563374940).

195658040448 is an abundant number, since it is smaller than the sum of its proper divisors (425468709432).

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

195658040448 is a wasteful number, since it uses less digits than its factorization.

195658040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318727 (or 318712 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 195658040448 in words is "one hundred ninety-five billion, six hundred fifty-eight million, forty thousand, four hundred forty-eight".