212783238144 has 352 divisors, whose sum is σ = 653153484800. Its totient is φ = 68359127040.

The previous prime is 212783238137. The next prime is 212783238179. The reversal of 212783238144 is 441832387212.

212783238144 is a `hidden beast` number, since 2 + 1 + 278 + 3 + 238 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212783238144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350548689 + ... + 350549295.

Almost surely, 2^212783238144 is an apocalyptic number.

212783238144 is a gapful number since it is divisible by the number (24) 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 212783238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326576742400).

212783238144 is an abundant number, since it is smaller than the sum of its proper divisors (440370246656).

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

212783238144 is a wasteful number, since it uses less digits than its factorization.

212783238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 212783238144 in words is "two hundred twelve billion, seven hundred eighty-three million, two hundred thirty-eight thousand, one hundred forty-four".