526536162003348 has 216 divisors, whose sum is σ = 1554369178602240. Its totient is φ = 149846142499200.

The previous prime is 526536162003323. The next prime is 526536162003377. The reversal of 526536162003348 is 843300261635625.

526536162003348 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 3 + 6 + 1 + 620 + 0 + 3 + 3 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 526536162003294 and 526536162003303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3520705173 + ... + 3520854723.

It is an arithmetic number, because the mean of its divisors is an integer number (7196153604640).

Almost surely, 2^{526536162003348} 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 526536162003348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777184589301120).

526536162003348 is an abundant number, since it is smaller than the sum of its proper divisors (1027833016598892).

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

526536162003348 is a wasteful number, since it uses less digits than its factorization.

526536162003348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157427 (or 157415 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 526536162003348 in words is "five hundred twenty-six trillion, five hundred thirty-six billion, one hundred sixty-two million, three thousand, three hundred forty-eight".