1643113461 has 32 divisors (see below), whose sum is σ = 2559081600. Its totient is φ = 926689280.

The previous prime is 1643113447. The next prime is 1643113469.

1643113461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1643113461 - 2⁶ = 1643113397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643113469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33475 + ... + 66383.

It is an arithmetic number, because the mean of its divisors is an integer number (79971300).

Almost surely, 2^1643113461 is an apocalyptic number.

1643113461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1643113461 is a deficient number, since it is larger than the sum of its proper divisors (915968139).

1643113461 is a wasteful number, since it uses less digits than its factorization.

1643113461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33029.

The product of its digits is 5184, while the sum is 30.

The square root of 1643113461 is about 40535.3359551885. The cubic root of 1643113461 is about 1180.0195010183.

It can be divided in two parts, 16431 and 13461, that added together give a palindrome (29892).

The spelling of 1643113461 in words is "one billion, six hundred forty-three million, one hundred thirteen thousand, four hundred sixty-one".