284106950378480 has 80 divisors (see below), whose sum is σ = 668951594774400. Its totient is φ = 112197292646400.

The previous prime is 284106950378437. The next prime is 284106950378497. The reversal of 284106950378480 is 84873059601482.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×284106950378480² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100926080 + ... + 103702880.

It is an arithmetic number, because the mean of its divisors is an integer number (8361894934680).

It is a 1-persistent number, because it is pandigital, but 2⋅284106950378480 = 568213900756960 is not.

Almost surely, 2^{284106950378480} is an apocalyptic number.

284106950378480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284106950378480 is an abundant number, since it is smaller than the sum of its proper divisors (384844644395920).

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

284106950378480 is a wasteful number, since it uses less digits than its factorization.

284106950378480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793082 (or 2793076 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 65.

The spelling of 284106950378480 in words is "two hundred eighty-four trillion, one hundred six billion, nine hundred fifty million, three hundred seventy-eight thousand, four hundred eighty".