286747641072 has 240 divisors, whose sum is σ = 823152002400. Its totient is φ = 93164617728.

The previous prime is 286747641067. The next prime is 286747641073. The reversal of 286747641072 is 270146747682.

286747641072 is a `hidden beast` number, since 2 + 8 + 67 + 476 + 4 + 107 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286747641073) by changing a digit.

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, 273352804 + ... + 273353852.

It is an arithmetic number, because the mean of its divisors is an integer number (3429800010).

Almost surely, 2^286747641072 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 286747641072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411576001200).

286747641072 is an abundant number, since it is smaller than the sum of its proper divisors (536404361328).

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

286747641072 is a wasteful number, since it uses less digits than its factorization.

286747641072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 286747641072 in words is "two hundred eighty-six billion, seven hundred forty-seven million, six hundred forty-one thousand, seventy-two".