284399690135716 has 81 divisors (see below), whose sum is σ = 505667723612961. Its totient is φ = 139958986876800.

The previous prime is 284399690135713. The next prime is 284399690135731. The reversal of 284399690135716 is 617531096993482.

The square root of 284399690135716 is 16864154.

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

It can be written as a sum of positive squares in only one way, i.e., 76691179022500 + 207708511113216 = 8757350^2 + 14412096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284399690135713) 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 26 ways as a sum of consecutive naturals, for example, 843915994300 + ... + 843915994636.

It is a 2-persistent number, because it is pandigital, and so is 2⋅284399690135716 = 568799380271432, but 3⋅284399690135716 = 853199070407148 is not.

Almost surely, 2^{284399690135716} is an apocalyptic number.

284399690135716 is the 16864154-th square number.

It is an amenable number.

284399690135716 is a deficient number, since it is larger than the sum of its proper divisors (221268033477245).

284399690135716 is an frugal number, since it uses more digits than its factorization.

284399690135716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 73.

The spelling of 284399690135716 in words is "two hundred eighty-four trillion, three hundred ninety-nine billion, six hundred ninety million, one hundred thirty-five thousand, seven hundred sixteen".