1648668461 has 24 divisors (see below), whose sum is σ = 1864609824. Its totient is φ = 1444847040.

The previous prime is 1648668431. The next prime is 1648668467.

1648668461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1648668461 - 2¹⁰ = 1648667437 is a prime.

It is a super-2 number, since 2×1648668461² = 5436215388592217042, which contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648668467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10500995 + ... + 10501151.

It is an arithmetic number, because the mean of its divisors is an integer number (77692076).

Almost surely, 2^1648668461 is an apocalyptic number.

1648668461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1648668461 is a deficient number, since it is larger than the sum of its proper divisors (215941363).

1648668461 is a wasteful number, since it uses less digits than its factorization.

1648668461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 360 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 1648668461 is about 40603.7986030864. The cubic root of 1648668461 is about 1181.3477994631.

The spelling of 1648668461 in words is "one billion, six hundred forty-eight million, six hundred sixty-eight thousand, four hundred sixty-one".