284685057741312 has 640 divisors, whose sum is σ = 980054243942400. Its totient is φ = 80933453365248.

The previous prime is 284685057741247. The next prime is 284685057741349. The reversal of 284685057741312 is 213147750586482.

284685057741312 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 8 + 5 + 0 + 577 + 41 + 3 + 12 = 666.

It is a super-2 number, since 2×284685057741312² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 284685057741312.

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, 101312473 + ... + 104084519.

It is an arithmetic number, because the mean of its divisors is an integer number (1531334756160).

Almost surely, 2^{284685057741312} 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 284685057741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490027121971200).

284685057741312 is an abundant number, since it is smaller than the sum of its proper divisors (695369186201088).

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

284685057741312 is a wasteful number, since it uses less digits than its factorization.

284685057741312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772133 (or 2772111 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 284685057741312 in words is "two hundred eighty-four trillion, six hundred eighty-five billion, fifty-seven million, seven hundred forty-one thousand, three hundred twelve".