523364112768 has 128 divisors (see below), whose sum is σ = 1592326080000. Its totient is φ = 149199224832.

The previous prime is 523364112767. The next prime is 523364112809. The reversal of 523364112768 is 867211463325.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523364112767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990093 + ... + 1423731.

It is an arithmetic number, because the mean of its divisors is an integer number (12440047500).

Almost surely, 2^523364112768 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 523364112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796163040000).

523364112768 is an abundant number, since it is smaller than the sum of its proper divisors (1068961967232).

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

523364112768 is a wasteful number, since it uses less digits than its factorization.

523364112768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434112 (or 434100 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 523364112768 in words is "five hundred twenty-three billion, three hundred sixty-four million, one hundred twelve thousand, seven hundred sixty-eight".