3481468742311 has 16 divisors (see below), whose sum is σ = 3984179599360. Its totient is φ = 2980099473120.

The previous prime is 3481468742287. The next prime is 3481468742327. The reversal of 3481468742311 is 1132478641843.

It is not a de Polignac number, because 3481468742311 - 2²³ = 3481460353703 is a prime.

It is a super-2 number, since 2×3481468742311² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481468748311) 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, 20859685 + ... + 21025921.

It is an arithmetic number, because the mean of its divisors is an integer number (249011224960).

Almost surely, 2^{3481468742311} is an apocalyptic number.

3481468742311 is a deficient number, since it is larger than the sum of its proper divisors (502710857049).

3481468742311 is a wasteful number, since it uses less digits than its factorization.

3481468742311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170254.

The product of its digits is 3096576, while the sum is 52.

The spelling of 3481468742311 in words is "three trillion, four hundred eighty-one billion, four hundred sixty-eight million, seven hundred forty-two thousand, three hundred eleven".