284691138048 has 400 divisors, whose sum is σ = 867085061040. Its totient is φ = 92980445184.

The previous prime is 284691138031. The next prime is 284691138059. The reversal of 284691138048 is 840831196482.

It is a happy number.

284691138048 is a `hidden beast` number, since 2 + 8 + 469 + 1 + 138 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 284691137985 and 284691138003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 505667815 + ... + 505668377.

Almost surely, 2^284691138048 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 284691138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433542530520).

284691138048 is an abundant number, since it is smaller than the sum of its proper divisors (582393922992).

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

284691138048 is an equidigital number, since it uses as much as digits as its factorization.

284691138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 284691138048 in words is "two hundred eighty-four billion, six hundred ninety-one million, one hundred thirty-eight thousand, forty-eight".