1461348431641 has 16 divisors (see below), whose sum is σ = 1728764864640. Its totient is φ = 1208648206080.

The previous prime is 1461348431551. The next prime is 1461348431651.

1461348431641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1461348431641 - 2¹³ = 1461348423449 is a prime.

It is a super-2 number, since 2×1461348431641² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1461348431591 and 1461348431600.

It is not an unprimeable number, because it can be changed into a prime (1461348431651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1882000 + ... + 2542561.

It is an arithmetic number, because the mean of its divisors is an integer number (108047804040).

Almost surely, 2^{1461348431641} is an apocalyptic number.

It is an amenable number.

1461348431641 is a deficient number, since it is larger than the sum of its proper divisors (267416432999).

1461348431641 is a wasteful number, since it uses less digits than its factorization.

1461348431641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426224.

The product of its digits is 663552, while the sum is 46.

The spelling of 1461348431641 in words is "one trillion, four hundred sixty-one billion, three hundred forty-eight million, four hundred thirty-one thousand, six hundred forty-one".