1948664668491 has 6 divisors (see below), whose sum is σ = 2814737854500. Its totient is φ = 1299109778988.

The previous prime is 1948664668487. The next prime is 1948664668493.

1948664668491 is a `hidden beast` number, since 1 + 9 + 4 + 86 + 6 + 466 + 84 + 9 + 1 = 666.

1948664668491 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1948664668491 - 2² = 1948664668487 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1948664668493) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108259148241 + ... + 108259148258.

It is an arithmetic number, because the mean of its divisors is an integer number (469122975750).

Almost surely, 2^{1948664668491} is an apocalyptic number.

1948664668491 is a deficient number, since it is larger than the sum of its proper divisors (866073186009).

1948664668491 is a wasteful number, since it uses less digits than its factorization.

1948664668491 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216518296505 (or 216518296502 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 1948664668491 in words is "one trillion, nine hundred forty-eight billion, six hundred sixty-four million, six hundred sixty-eight thousand, four hundred ninety-one".