806562054144 has 840 divisors, whose sum is σ = 3018718331328. Its totient is φ = 209257758720.

The previous prime is 806562054119. The next prime is 806562054163. The reversal of 806562054144 is 441450265608.

It is a happy number.

806562054144 is a `hidden beast` number, since 8 + 0 + 6 + 5 + 62 + 0 + 541 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 806562054144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 919682634 + ... + 919683510.

Almost surely, 2^806562054144 is an apocalyptic number.

806562054144 is a gapful number since it is divisible by the number (84) 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 806562054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509359165664).

806562054144 is an abundant number, since it is smaller than the sum of its proper divisors (2212156277184).

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

806562054144 is an frugal number, since it uses more digits than its factorization.

806562054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 806562054144 in words is "eight hundred six billion, five hundred sixty-two million, fifty-four thousand, one hundred forty-four".