284767785004096 has 63 divisors (see below), whose sum is σ = 568618066985493. Its totient is φ = 141499436647680.

The previous prime is 284767785004063. The next prime is 284767785004133. The reversal of 284767785004096 is 690400587767482.

The square root of 284767785004096 is 16875064.

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., 215553371973696 + 69214413030400 = 14681736^2 + 8319520^2 .

It is a super-2 number, since 2×284767785004096² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22005076986 + ... + 22005089926.

Almost surely, 2^{284767785004096} is an apocalyptic number.

284767785004096 is the 16875064-th square number.

It is an amenable number.

284767785004096 is a deficient number, since it is larger than the sum of its proper divisors (283850281981397).

284767785004096 is an frugal number, since it uses more digits than its factorization.

284767785004096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26220 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 73.

The spelling of 284767785004096 in words is "two hundred eighty-four trillion, seven hundred sixty-seven billion, seven hundred eighty-five million, four thousand, ninety-six".