1467808048161 has 96 divisors (see below), whose sum is σ = 2762507462400. Its totient is φ = 763323160320.

The previous prime is 1467808048127. The next prime is 1467808048207. The reversal of 1467808048161 is 1618408087641.

1467808048161 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 80 + 80 + 481 + 6 + 1 = 666.

It is not a de Polignac number, because 1467808048161 - 2¹⁷ = 1467807917089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1467808048098 and 1467808048107.

It is not an unprimeable number, because it can be changed into a prime (1467808048361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620125 + ... + 1822133.

It is an arithmetic number, because the mean of its divisors is an integer number (28776119400).

Almost surely, 2^{1467808048161} is an apocalyptic number.

It is an amenable number.

1467808048161 is a deficient number, since it is larger than the sum of its proper divisors (1294699414239).

1467808048161 is a wasteful number, since it uses less digits than its factorization.

1467808048161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202116 (or 1202103 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1467808048161 in words is "one trillion, four hundred sixty-seven billion, eight hundred eight million, forty-eight thousand, one hundred sixty-one".