526344564416 has 112 divisors (see below), whose sum is σ = 1171632729120. Its totient is φ = 232498667520.

The previous prime is 526344564413. The next prime is 526344564457. The reversal of 526344564416 is 614465443625.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (526344564413) 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, 22207100 + ... + 22230788.

It is an arithmetic number, because the mean of its divisors is an integer number (10461006510).

Almost surely, 2^526344564416 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 526344564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585816364560).

526344564416 is an abundant number, since it is smaller than the sum of its proper divisors (645288164704).

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

526344564416 is a wasteful number, since it uses less digits than its factorization.

526344564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24602 (or 24592 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

The spelling of 526344564416 in words is "five hundred twenty-six billion, three hundred forty-four million, five hundred sixty-four thousand, four hundred sixteen".