212192483328 has 576 divisors, whose sum is σ = 769282375680. Its totient is φ = 57044238336.

The previous prime is 212192483299. The next prime is 212192483359. The reversal of 212192483328 is 823384291212.

212192483328 is a `hidden beast` number, since 212 + 19 + 24 + 83 + 328 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59220225 + ... + 59223807.

It is an arithmetic number, because the mean of its divisors is an integer number (1335559680).

Almost surely, 2^212192483328 is an apocalyptic number.

212192483328 is a gapful number since it is divisible by the number (28) 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 212192483328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384641187840).

212192483328 is an abundant number, since it is smaller than the sum of its proper divisors (557089892352).

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

212192483328 is an equidigital number, since it uses as much as digits as its factorization.

212192483328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3612 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 212192483328 in words is "two hundred twelve billion, one hundred ninety-two million, four hundred eighty-three thousand, three hundred twenty-eight".