212530346784 has 216 divisors, whose sum is σ = 718018898688. Its totient is φ = 59430792960.

The previous prime is 212530346773. The next prime is 212530346789. The reversal of 212530346784 is 487643035212.

212530346784 is a `hidden beast` number, since 2 + 1 + 2 + 530 + 3 + 46 + 78 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (212530346789) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 503049 + ... + 823479.

It is an arithmetic number, because the mean of its divisors is an integer number (3324161568).

Almost surely, 2^212530346784 is an apocalyptic number.

212530346784 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 212530346784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359009449344).

212530346784 is an abundant number, since it is smaller than the sum of its proper divisors (505488551904).

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

212530346784 is a wasteful number, since it uses less digits than its factorization.

212530346784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320508 (or 320490 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 212530346784 in words is "two hundred twelve billion, five hundred thirty million, three hundred forty-six thousand, seven hundred eighty-four".