806022289512 has 192 divisors, whose sum is σ = 2457333365760. Its totient is φ = 236551219200.

The previous prime is 806022289453. The next prime is 806022289529. The reversal of 806022289512 is 215982220608.

806022289512 is a `hidden beast` number, since 8 + 0 + 602 + 2 + 28 + 9 + 5 + 12 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4358073 + ... + 4539255.

It is an arithmetic number, because the mean of its divisors is an integer number (12798611280).

Almost surely, 2^806022289512 is an apocalyptic number.

806022289512 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806022289512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228666682880).

806022289512 is an abundant number, since it is smaller than the sum of its proper divisors (1651311076248).

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

806022289512 is a wasteful number, since it uses less digits than its factorization.

806022289512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181384 (or 181377 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 806022289512 in words is "eight hundred six billion, twenty-two million, two hundred eighty-nine thousand, five hundred twelve".