305272145193344 has 2048 divisors, whose sum is σ = 834748416000000. Its totient is φ = 110472330608640.

The previous prime is 305272145193299. The next prime is 305272145193347. The reversal of 305272145193344 is 443391541272503.

It is a super-2 number, since 2×305272145193344² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305272145193347) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3430024103252 + ... + 3430024103340.

It is an arithmetic number, because the mean of its divisors is an integer number (407592000000).

Almost surely, 2^{305272145193344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305272145193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417374208000000).

305272145193344 is an abundant number, since it is smaller than the sum of its proper divisors (529476270806656).

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

305272145193344 is a wasteful number, since it uses less digits than its factorization.

305272145193344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 53.

The spelling of 305272145193344 in words is "three hundred five trillion, two hundred seventy-two billion, one hundred forty-five million, one hundred ninety-three thousand, three hundred forty-four".