1461419346761 has 6 divisors (see below), whose sum is σ = 1606353496986. Its totient is φ = 1328563042400.

The previous prime is 1461419346743. The next prime is 1461419346797. The reversal of 1461419346761 is 1676439141641.

It can be written as a sum of positive squares in only one way, i.e., 1289178576400 + 172240770361 = 1135420^2 + 415019^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1461419346761 is a prime.

It is a super-2 number, since 2×1461419346761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1461419346721) 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 5 ways as a sum of consecutive naturals, for example, 6038922800 + ... + 6038923041.

It is an arithmetic number, because the mean of its divisors is an integer number (267725582831).

Almost surely, 2^{1461419346761} is an apocalyptic number.

1461419346761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1461419346761 is a deficient number, since it is larger than the sum of its proper divisors (144934150225).

1461419346761 is a wasteful number, since it uses less digits than its factorization.

1461419346761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077845863 (or 12077845852 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 53.

The spelling of 1461419346761 in words is "one trillion, four hundred sixty-one billion, four hundred nineteen million, three hundred forty-six thousand, seven hundred sixty-one".