196205588401 has 9 divisors (see below), whose sum is σ = 196848636651. Its totient is φ = 195564638304.

The previous prime is 196205588329. The next prime is 196205588407. The reversal of 196205588401 is 104885502691.

The square root of 196205588401 is 442951.

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., 60221650801 + 135983937600 = 245401^2 + 368760^2 .

It is not a de Polignac number, because 196205588401 - 2¹⁵ = 196205555633 is a prime.

It is a super-3 number, since 3×196205588401³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (196205588407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 194454985 + ... + 194455993.

It is an arithmetic number, because the mean of its divisors is an integer number (21872070739).

Almost surely, 2^196205588401 is an apocalyptic number.

196205588401 is the 442951-st square number.

196205588401 is the 221476-th centered octagonal number.

It is an amenable number.

196205588401 is a deficient number, since it is larger than the sum of its proper divisors (643048250).

196205588401 is an frugal number, since it uses more digits than its factorization.

196205588401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

Multiplying 196205588401 by its sum of digits (49), we get a square (9614073831649 = 3100657²).

The spelling of 196205588401 in words is "one hundred ninety-six billion, two hundred five million, five hundred eighty-eight thousand, four hundred one".