11653231643001 has 40 divisors (see below), whose sum is σ = 18749804923080. Its totient is φ = 7170140487168.

The previous prime is 11653231642961. The next prime is 11653231643023. The reversal of 11653231643001 is 10034613235611.

11653231643001 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 3 + 2 + 3 + 1 + 643 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1378097557776 + 10275134085225 = 1173924^2 + 3205485^2 .

It is not a de Polignac number, because 11653231643001 - 2⁷ = 11653231642873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11653231643041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6197455 + ... + 7855883.

It is an arithmetic number, because the mean of its divisors is an integer number (468745123077).

Almost surely, 2^{11653231643001} is an apocalyptic number.

It is an amenable number.

11653231643001 is a deficient number, since it is larger than the sum of its proper divisors (7096573280079).

11653231643001 is a wasteful number, since it uses less digits than its factorization.

11653231643001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665127 (or 1665118 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 11653231643001 its reverse (10034613235611), we get a palindrome (21687844878612).

The spelling of 11653231643001 in words is "eleven trillion, six hundred fifty-three billion, two hundred thirty-one million, six hundred forty-three thousand, one".