3023223368256 has 1344 divisors, whose sum is σ = 11786320465920. Its totient is φ = 718885601280.

The previous prime is 3023223368171. The next prime is 3023223368267. The reversal of 3023223368256 is 6528633223203.

3023223368256 is a `hidden beast` number, since 3 + 0 + 2 + 32 + 2 + 3 + 368 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1503342291 + ... + 1503344301.

It is an arithmetic number, because the mean of its divisors is an integer number (8769583680).

Almost surely, 2^{3023223368256} is an apocalyptic number.

3023223368256 is a gapful number since it is divisible by the number (36) 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 3023223368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893160232960).

3023223368256 is an abundant number, since it is smaller than the sum of its proper divisors (8763097097664).

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

3023223368256 is a wasteful number, since it uses less digits than its factorization.

3023223368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 3023223368256 in words is "three trillion, twenty-three billion, two hundred twenty-three million, three hundred sixty-eight thousand, two hundred fifty-six".