8201266344 has 192 divisors, whose sum is σ = 23900994000. Its totient is φ = 2531524608.

The previous prime is 8201266321. The next prime is 8201266379. The reversal of 8201266344 is 4436621028.

8201266344 is a `hidden beast` number, since 8 + 2 + 0 + 12 + 6 + 634 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1368260100 + 6833006244 = 36990^2 + 82662^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8201266299 and 8201266308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35198452 + ... + 35198684.

Almost surely, 2^8201266344 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 8201266344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950497000).

8201266344 is an abundant number, since it is smaller than the sum of its proper divisors (15699727656).

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

8201266344 is a wasteful number, since it uses less digits than its factorization.

8201266344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8201266344 is about 90560.8433264620. The cubic root of 8201266344 is about 2016.6334755763.

The spelling of 8201266344 in words is "eight billion, two hundred one million, two hundred sixty-six thousand, three hundred forty-four".