284213486232000 has 1568 divisors, whose sum is σ = 1137691544580864. Its totient is φ = 69885462528000.

The previous prime is 284213486231999. The next prime is 284213486232019. The reversal of 284213486232000 is 232684312482.

284213486232000 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 13 + 4 + 8 + 623 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×284213486232000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 112738390740 + ... + 112738393260.

Almost surely, 2^{284213486232000} is an apocalyptic number.

284213486232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284213486232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568845772290432).

284213486232000 is an abundant number, since it is smaller than the sum of its proper divisors (853478058348864).

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

284213486232000 is a wasteful number, since it uses less digits than its factorization.

284213486232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 284213486232000 in words is "two hundred eighty-four trillion, two hundred thirteen billion, four hundred eighty-six million, two hundred thirty-two thousand".