3105164466261 has 320 divisors, whose sum is σ = 5873198284800. Its totient is φ = 1607577269760.

The previous prime is 3105164466251. The next prime is 3105164466263. The reversal of 3105164466261 is 1626644615013.

3105164466261 is a `hidden beast` number, since 3 + 1 + 0 + 5 + 16 + 4 + 4 + 6 + 626 + 1 = 666.

It is not a de Polignac number, because 3105164466261 - 2⁶ = 3105164466197 is a prime.

It is a super-2 number, since 2×3105164466261² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105164466263) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1961568676 + ... + 1961570258.

It is an arithmetic number, because the mean of its divisors is an integer number (18353744640).

Almost surely, 2^{3105164466261} is an apocalyptic number.

It is an amenable number.

3105164466261 is a deficient number, since it is larger than the sum of its proper divisors (2768033818539).

3105164466261 is a wasteful number, since it uses less digits than its factorization.

3105164466261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3105164466261 in words is "three trillion, one hundred five billion, one hundred sixty-four million, four hundred sixty-six thousand, two hundred sixty-one".