213764920992 has 192 divisors, whose sum is σ = 727092576000. Its totient is φ = 61075607040.

The previous prime is 213764920981. The next prime is 213764921009. The reversal of 213764920992 is 299029467312.

213764920992 is a `hidden beast` number, since 21 + 376 + 49 + 209 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64309 + ... + 657012.

It is an arithmetic number, because the mean of its divisors is an integer number (3786940500).

Almost surely, 2^213764920992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213764920992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363546288000).

213764920992 is an abundant number, since it is smaller than the sum of its proper divisors (513327655008).

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

213764920992 is an equidigital number, since it uses as much as digits as its factorization.

213764920992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721361 (or 721333 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 213764920992 in words is "two hundred thirteen billion, seven hundred sixty-four million, nine hundred twenty thousand, nine hundred ninety-two".