826306665312 has 192 divisors, whose sum is σ = 2254796828928. Its totient is φ = 264741120000.

The previous prime is 826306665271. The next prime is 826306665341. The reversal of 826306665312 is 213566603628.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176144887 + ... + 176149577.

It is an arithmetic number, because the mean of its divisors is an integer number (11743733484).

Almost surely, 2^826306665312 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 826306665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127398414464).

826306665312 is an abundant number, since it is smaller than the sum of its proper divisors (1428490163616).

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

826306665312 is a wasteful number, since it uses less digits than its factorization.

826306665312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 826306665312 in words is "eight hundred twenty-six billion, three hundred six million, six hundred sixty-five thousand, three hundred twelve".