1461662661641 has 48 divisors (see below), whose sum is σ = 1828139080320. Its totient is φ = 1144167897600.

The previous prime is 1461662661637. The next prime is 1461662661647.

1461662661641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1461662661641 - 2² = 1461662661637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1461662661641.

It is not an unprimeable number, because it can be changed into a prime (1461662661647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192244346 + ... + 192251948.

It is an arithmetic number, because the mean of its divisors is an integer number (38086230840).

Almost surely, 2^{1461662661641} is an apocalyptic number.

It is an amenable number.

1461662661641 is a deficient number, since it is larger than the sum of its proper divisors (366476418679).

1461662661641 is a wasteful number, since it uses less digits than its factorization.

1461662661641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9346 (or 9333 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The spelling of 1461662661641 in words is "one trillion, four hundred sixty-one billion, six hundred sixty-two million, six hundred sixty-one thousand, six hundred forty-one".