1461661641 has 12 divisors (see below), whose sum is σ = 2303224560. Its totient is φ = 885855480.

The previous prime is 1461661637. The next prime is 1461661673.

1461661641 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 6 + 6 + 1 + 641 = 666.

1461661641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1461661641 - 2² = 1461661637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1461661596 and 1461661605.

It is not an unprimeable number, because it can be changed into a prime (1461661681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7382031 + ... + 7382228.

It is an arithmetic number, because the mean of its divisors is an integer number (191935380).

Almost surely, 2^1461661641 is an apocalyptic number.

1461661641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1461661641 is a deficient number, since it is larger than the sum of its proper divisors (841562919).

1461661641 is a wasteful number, since it uses less digits than its factorization.

1461661641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14764276 (or 14764273 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1461661641 is about 38231.6837322135. The cubic root of 1461661641 is about 1134.8774062055.

The spelling of 1461661641 in words is "one billion, four hundred sixty-one million, six hundred sixty-one thousand, six hundred forty-one".