816341162256 has 405 divisors, whose sum is σ = 2509025877189. Its totient is φ = 247722402816.

The previous prime is 816341162243. The next prime is 816341162293. The reversal of 816341162256 is 652261143618.

The square root of 816341162256 is 903516.

It is a perfect power (a square), and thus also a powerful number.

816341162256 is a `hidden beast` number, since 8 + 1 + 6 + 3 + 4 + 11 + 622 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 635559728400 + 180781433856 = 797220^2 + 425184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7925642301 + ... + 7925642403.

Almost surely, 2^816341162256 is an apocalyptic number.

816341162256 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

816341162256 is the 903516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816341162256

816341162256 is an abundant number, since it is smaller than the sum of its proper divisors (1692684714933).

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

816341162256 is a wasteful number, since it uses less digits than its factorization.

816341162256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 168 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 816341162256 in words is "eight hundred sixteen billion, three hundred forty-one million, one hundred sixty-two thousand, two hundred fifty-six".