286661140816000 has 512 divisors, whose sum is σ = 802066764096000. Its totient is φ = 101246710579200.

The previous prime is 286661140815977. The next prime is 286661140816009. The reversal of 286661140816000 is 618041166682.

It is a super-2 number, since 2×286661140816000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (286661140816009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532034736 + ... + 532573264.

It is an arithmetic number, because the mean of its divisors is an integer number (1566536648625).

Almost surely, 2^{286661140816000} is an apocalyptic number.

286661140816000 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 286661140816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401033382048000).

286661140816000 is an abundant number, since it is smaller than the sum of its proper divisors (515405623280000).

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

286661140816000 is a wasteful number, since it uses less digits than its factorization.

286661140816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538697 (or 538675 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 286661140816000 in words is "two hundred eighty-six trillion, six hundred sixty-one billion, one hundred forty million, eight hundred sixteen thousand".