1648118461 has 16 divisors (see below), whose sum is σ = 1847946240. Its totient is φ = 1457192880.

The previous prime is 1648118419. The next prime is 1648118471.

It is a happy number.

1648118461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1648118461 - 2¹⁵ = 1648085693 is a prime.

It is a super-2 number, since 2×1648118461² = 5432588922978017042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648118411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44070 + ... + 72376.

It is an arithmetic number, because the mean of its divisors is an integer number (115496640).

Almost surely, 2^1648118461 is an apocalyptic number.

1648118461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1648118461 is a deficient number, since it is larger than the sum of its proper divisors (199827779).

1648118461 is a wasteful number, since it uses less digits than its factorization.

1648118461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28464.

The product of its digits is 36864, while the sum is 40.

The square root of 1648118461 is about 40597.0252727955. The cubic root of 1648118461 is about 1181.2164179735.

The spelling of 1648118461 in words is "one billion, six hundred forty-eight million, one hundred eighteen thousand, four hundred sixty-one".