523345904928 has 1296 divisors, whose sum is σ = 2067142200480. Its totient is φ = 128324528640.

The previous prime is 523345904911. The next prime is 523345904953. The reversal of 523345904928 is 829409543325.

523345904928 is a `hidden beast` number, since 5 + 2 + 3 + 3 + 4 + 590 + 49 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1849278675 + ... + 1849278957.

It is an arithmetic number, because the mean of its divisors is an integer number (1595017130).

Almost surely, 2^523345904928 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 523345904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033571100240).

523345904928 is an abundant number, since it is smaller than the sum of its proper divisors (1543796295552).

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

523345904928 is a wasteful number, since it uses less digits than its factorization.

523345904928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 523345904928 in words is "five hundred twenty-three billion, three hundred forty-five million, nine hundred four thousand, nine hundred twenty-eight".