10191232601641 has 27 divisors (see below), whose sum is σ = 12837553148133. Its totient is φ = 8063162976960.

The previous prime is 10191232601639. The next prime is 10191232601657. The reversal of 10191232601641 is 14610623219101.

The square root of 10191232601641 is 3192371.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3619827225 + 10187612774416 = 60165^2 + 3191804^2 .

It is not a de Polignac number, because 10191232601641 - 2¹ = 10191232601639 is a prime.

It is a super-2 number, since 2×10191232601641² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10191232601641.

It is not an unprimeable number, because it can be changed into a prime (10191232601681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 290488221 + ... + 290523301.

Almost surely, 2^{10191232601641} is an apocalyptic number.

10191232601641 is the 3192371-st square number.

10191232601641 is the 1596186-th centered octagonal number.

It is an amenable number.

10191232601641 is a deficient number, since it is larger than the sum of its proper divisors (2646320546492).

10191232601641 is an frugal number, since it uses more digits than its factorization.

10191232601641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70202 (or 35101 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 10191232601641 in words is "ten trillion, one hundred ninety-one billion, two hundred thirty-two million, six hundred one thousand, six hundred forty-one".