11630588648241 has 32 divisors (see below), whose sum is σ = 15753945968640. Its totient is φ = 7631503776000.

The previous prime is 11630588648233. The next prime is 11630588648251. The reversal of 11630588648241 is 14284688503611.

It is not a de Polignac number, because 11630588648241 - 2³ = 11630588648233 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (11630588648251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65023911 + ... + 65202531.

It is an arithmetic number, because the mean of its divisors is an integer number (492310811520).

Almost surely, 2^{11630588648241} is an apocalyptic number.

It is an amenable number.

11630588648241 is a deficient number, since it is larger than the sum of its proper divisors (4123357320399).

11630588648241 is a wasteful number, since it uses less digits than its factorization.

11630588648241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180057.

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 11630588648241 in words is "eleven trillion, six hundred thirty billion, five hundred eighty-eight million, six hundred forty-eight thousand, two hundred forty-one".