284139396900 has 216 divisors, whose sum is σ = 952866096000. Its totient is φ = 70605561600.

The previous prime is 284139396899. The next prime is 284139396923. The reversal of 284139396900 is 9693931482.

284139396900 is a `hidden beast` number, since 2 + 84 + 1 + 393 + 96 + 90 + 0 = 666.

It is a super-2 number, since 2×284139396900² (a number of 24 digits) contains 22 as substring.

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, 906901 + ... + 1179299.

Almost surely, 2^284139396900 is an apocalyptic number.

284139396900 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 284139396900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476433048000).

284139396900 is an abundant number, since it is smaller than the sum of its proper divisors (668726699100).

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

284139396900 is a wasteful number, since it uses less digits than its factorization.

284139396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272499 (or 272489 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 284139396900 in words is "two hundred eighty-four billion, one hundred thirty-nine million, three hundred ninety-six thousand, nine hundred".