806292484416 has 224 divisors, whose sum is σ = 2437622638080. Its totient is φ = 261155653632.

The previous prime is 806292484397. The next prime is 806292484483. The reversal of 806292484416 is 614484292608.

It is a happy number.

806292484416 is a `hidden beast` number, since 8 + 0 + 62 + 92 + 4 + 84 + 416 = 666.

It is a super-2 number, since 2×806292484416² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 50949081 + ... + 50964903.

It is an arithmetic number, because the mean of its divisors is an integer number (10882243920).

Almost surely, 2^806292484416 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 806292484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218811319040).

806292484416 is an abundant number, since it is smaller than the sum of its proper divisors (1631330153664).

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

806292484416 is a wasteful number, since it uses less digits than its factorization.

806292484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16678 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 806292484416 in words is "eight hundred six billion, two hundred ninety-two million, four hundred eighty-four thousand, four hundred sixteen".