284204359431972 has 216 divisors, whose sum is σ = 830827766367872. Its totient is φ = 80243990323200.

The previous prime is 284204359431947. The next prime is 284204359432009. The reversal of 284204359431972 is 279134953402482.

It is a happy number.

284204359431972 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 0 + 4 + 3 + 594 + 31 + 9 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3654805572 + ... + 3654883332.

Almost surely, 2^{284204359431972} 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 284204359431972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415413883183936).

284204359431972 is an abundant number, since it is smaller than the sum of its proper divisors (546623406935900).

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

284204359431972 is a wasteful number, since it uses less digits than its factorization.

284204359431972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79787 (or 79693 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 284204359431972 in words is "two hundred eighty-four trillion, two hundred four billion, three hundred fifty-nine million, four hundred thirty-one thousand, nine hundred seventy-two".