195866434624 has 105 divisors (see below), whose sum is σ = 453826190517. Its totient is φ = 83868406272.

The previous prime is 195866434583. The next prime is 195866434639. The reversal of 195866434624 is 426434668591.

The square root of 195866434624 is 442568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16632745024 + 179233689600 = 128968^2 + 423360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 173486092 + ... + 173487220.

Almost surely, 2^195866434624 is an apocalyptic number.

195866434624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

195866434624 is the 442568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195866434624

195866434624 is an abundant number, since it is smaller than the sum of its proper divisors (257959755893).

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

195866434624 is an frugal number, since it uses more digits than its factorization.

195866434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 1138 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 195866434624 in words is "one hundred ninety-five billion, eight hundred sixty-six million, four hundred thirty-four thousand, six hundred twenty-four".