806049265032 has 192 divisors, whose sum is σ = 2508312268800. Its totient is φ = 231266897280.

The previous prime is 806049265031. The next prime is 806049265123. The reversal of 806049265032 is 230562940608.

806049265032 is a `hidden beast` number, since 8 + 0 + 604 + 9 + 2 + 6 + 5 + 0 + 32 = 666.

It is a super-2 number, since 2×806049265032² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (806049265031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27417813 + ... + 27447195.

It is an arithmetic number, because the mean of its divisors is an integer number (13064126400).

Almost surely, 2^806049265032 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 806049265032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254156134400).

806049265032 is an abundant number, since it is smaller than the sum of its proper divisors (1702263003768).

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

806049265032 is a wasteful number, since it uses less digits than its factorization.

806049265032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31248 (or 31241 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 806049265032 in words is "eight hundred six billion, forty-nine million, two hundred sixty-five thousand, thirty-two".