212982194304 has 576 divisors, whose sum is σ = 694822302720. Its totient is φ = 62546964480.

The previous prime is 212982194263. The next prime is 212982194311. The reversal of 212982194304 is 403491289212.

212982194304 is a `hidden beast` number, since 2 + 129 + 8 + 219 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×212982194304² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212982194304.

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, 938247439 + ... + 938247665.

It is an arithmetic number, because the mean of its divisors is an integer number (1206288720).

Almost surely, 2^212982194304 is an apocalyptic number.

212982194304 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 212982194304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347411151360).

212982194304 is an abundant number, since it is smaller than the sum of its proper divisors (481840108416).

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

212982194304 is a wasteful number, since it uses less digits than its factorization.

212982194304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 212982194304 in words is "two hundred twelve billion, nine hundred eighty-two million, one hundred ninety-four thousand, three hundred four".