3105164466272 has 192 divisors, whose sum is σ = 7022805753600. Its totient is φ = 1338361006080.

The previous prime is 3105164466263. The next prime is 3105164466277. The reversal of 3105164466272 is 2726644615013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105164466277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859440338 + ... + 859443950.

It is an arithmetic number, because the mean of its divisors is an integer number (36577113300).

Almost surely, 2^{3105164466272} is an apocalyptic number.

3105164466272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105164466272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511402876800).

3105164466272 is an abundant number, since it is smaller than the sum of its proper divisors (3917641287328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3105164466272 is a wasteful number, since it uses less digits than its factorization.

3105164466272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 3105164466272 in words is "three trillion, one hundred five billion, one hundred sixty-four million, four hundred sixty-six thousand, two hundred seventy-two".