284237378959842 has 768 divisors, whose sum is σ = 863654292172800. Its totient is φ = 67683824208000.

The previous prime is 284237378959837. The next prime is 284237378959871. The reversal of 284237378959842 is 248959873732482.

284237378959842 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 37 + 378 + 95 + 98 + 42 = 666.

It is a super-3 number, since 3×284237378959842³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9186416092 + ... + 9186447032.

It is an arithmetic number, because the mean of its divisors is an integer number (1124549859600).

Almost surely, 2^{284237378959842} is an apocalyptic number.

284237378959842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 284237378959842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827146086400).

284237378959842 is an abundant number, since it is smaller than the sum of its proper divisors (579416913212958).

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

284237378959842 is a wasteful number, since it uses less digits than its factorization.

284237378959842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31073 (or 31014 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 284237378959842 in words is "two hundred eighty-four trillion, two hundred thirty-seven billion, three hundred seventy-eight million, nine hundred fifty-nine thousand, eight hundred forty-two".