19648241120241 has 64 divisors (see below), whose sum is σ = 29467395682560. Its totient is φ = 12938489441280.

The previous prime is 19648241120227. The next prime is 19648241120309. The reversal of 19648241120241 is 14202114284691.

19648241120241 is a `hidden beast` number, since 1 + 9 + 6 + 48 + 241 + 120 + 241 = 666.

It is not a de Polignac number, because 19648241120241 - 2¹⁵ = 19648241087473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19648241122241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651430201 + ... + 651460361.

It is an arithmetic number, because the mean of its divisors is an integer number (460428057540).

Almost surely, 2^{19648241120241} is an apocalyptic number.

It is an amenable number.

19648241120241 is a deficient number, since it is larger than the sum of its proper divisors (9819154562319).

19648241120241 is a wasteful number, since it uses less digits than its factorization.

19648241120241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31231 (or 31225 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 19648241120241 in words is "nineteen trillion, six hundred forty-eight billion, two hundred forty-one million, one hundred twenty thousand, two hundred forty-one".