285309812736 has 405 divisors, whose sum is σ = 900899273001. Its totient is φ = 86967189504.

The previous prime is 285309812729. The next prime is 285309812779. The reversal of 285309812736 is 637218903582.

The square root of 285309812736 is 534144.

It is a perfect power (a square), and thus also a powerful number.

285309812736 is a `hidden beast` number, since 2 + 8 + 530 + 9 + 81 + 27 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42205593600 + 243104219136 = 205440^2 + 493056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2666446795 + ... + 2666446901.

Almost surely, 2^285309812736 is an apocalyptic number.

285309812736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

285309812736 is the 534144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285309812736

285309812736 is an abundant number, since it is smaller than the sum of its proper divisors (615589460265).

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

285309812736 is an equidigital number, since it uses as much as digits as its factorization.

285309812736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 28530 and 9812736, that added together give a triangular number (9841266 = T₄₄₃₆).

The spelling of 285309812736 in words is "two hundred eighty-five billion, three hundred nine million, eight hundred twelve thousand, seven hundred thirty-six".