193600880001 has 15 divisors (see below), whose sum is σ = 289212168531. Its totient is φ = 129064613328.

The previous prime is 193600879957. The next prime is 193600880023. The reversal of 193600880001 is 100088006391.

The square root of 193600880001 is 440001.

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., 114752240001 + 78848640000 = 338751^2 + 280800^2 .

It is not a de Polignac number, because 193600880001 - 2¹⁹ = 193600355713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (193600880201) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3935565 + ... + 3984453.

Almost surely, 2^193600880001 is an apocalyptic number.

193600880001 is the 440001-st square number.

193600880001 is the 220001-st centered octagonal number.

It is an amenable number.

193600880001 is a deficient number, since it is larger than the sum of its proper divisors (95611288530).

193600880001 is an frugal number, since it uses more digits than its factorization.

193600880001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97790 (or 48892 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 193600880001 by its sum of digits (36), we get a square (6969631680036 = 2640006²).

Adding to 193600880001 its reverse (100088006391), we get a palindrome (293688886392).

The spelling of 193600880001 in words is "one hundred ninety-three billion, six hundred million, eight hundred eighty thousand, one".