286913103144960 has 768 divisors, whose sum is σ = 955905207828480. Its totient is φ = 73422789672960.

The previous prime is 286913103144923. The next prime is 286913103144979. The reversal of 286913103144960 is 69441301319682.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 286913103144960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14681108949 + ... + 14681128491.

It is an arithmetic number, because the mean of its divisors is an integer number (1244668239360).

Almost surely, 2^{286913103144960} is an apocalyptic number.

286913103144960 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 286913103144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477952603914240).

286913103144960 is an abundant number, since it is smaller than the sum of its proper divisors (668992104683520).

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

286913103144960 is a wasteful number, since it uses less digits than its factorization.

286913103144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19824 (or 19804 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 286913103144960 in words is "two hundred eighty-six trillion, nine hundred thirteen billion, one hundred three million, one hundred forty-four thousand, nine hundred sixty".