216845586000 has 800 divisors, whose sum is σ = 820084430880. Its totient is φ = 55157760000.

The previous prime is 216845585977. The next prime is 216845586007. The reversal of 216845586000 is 685548612.

216845586000 is a `hidden beast` number, since 2 + 1 + 68 + 4 + 5 + 586 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 47766725136 + 169078860864 = 218556^2 + 411192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216845586007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 474497772 + ... + 474498228.

Almost surely, 2^216845586000 is an apocalyptic number.

216845586000 is a gapful number since it is divisible by the number (20) 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 216845586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410042215440).

216845586000 is an abundant number, since it is smaller than the sum of its proper divisors (603238844880).

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

216845586000 is a wasteful number, since it uses less digits than its factorization.

216845586000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 216845586000 in words is "two hundred sixteen billion, eight hundred forty-five million, five hundred eighty-six thousand".