295056638338264 has 256 divisors, whose sum is σ = 663615476213760. Its totient is φ = 121580186112000.

The previous prime is 295056638338261. The next prime is 295056638338271. The reversal of 295056638338264 is 462833836650592.

It is a junction number, because it is equal to n+sod(n) for n = 295056638338193 and 295056638338202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295056638338261) 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 63 ways as a sum of consecutive naturals, for example, 1937351302 + ... + 1937503594.

It is an arithmetic number, because the mean of its divisors is an integer number (2592247953960).

Almost surely, 2^{295056638338264} 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 295056638338264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331807738106880).

295056638338264 is an abundant number, since it is smaller than the sum of its proper divisors (368558837875496).

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

295056638338264 is a wasteful number, since it uses less digits than its factorization.

295056638338264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153042 (or 153038 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 70.

The spelling of 295056638338264 in words is "two hundred ninety-five trillion, fifty-six billion, six hundred thirty-eight million, three hundred thirty-eight thousand, two hundred sixty-four".