195901841664 has 81 divisors (see below), whose sum is σ = 564894566509. Its totient is φ = 65293532160.

The previous prime is 195901841621. The next prime is 195901841683. The reversal of 195901841664 is 466148109591.

The square root of 195901841664 is 442608.

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

195901841664 is a `hidden beast` number, since 1 + 9 + 590 + 1 + 8 + 41 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179599659264 + 16302182400 = 423792^2 + 127680^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 195901841664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21240574 + ... + 21249794.

Almost surely, 2^195901841664 is an apocalyptic number.

195901841664 is the 442608-th square number.

It is an amenable number.

195901841664 is an abundant number, since it is smaller than the sum of its proper divisors (368992724845).

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

195901841664 is an frugal number, since it uses more digits than its factorization.

195901841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18464 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 195901841664 in words is "one hundred ninety-five billion, nine hundred one million, eight hundred forty-one thousand, six hundred sixty-four".