213344463400002 has 192 divisors, whose sum is σ = 511020246072960. Its totient is φ = 63788985216000.

The previous prime is 213344463399997. The next prime is 213344463400031. The reversal of 213344463400002 is 200004364443312.

213344463400002 is a `hidden beast` number, since 2 + 13 + 3 + 4 + 4 + 4 + 634 + 0 + 0 + 0 + 0 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213344463400002.

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 95 ways as a sum of consecutive naturals, for example, 8915716374 + ... + 8915740302.

It is an arithmetic number, because the mean of its divisors is an integer number (2661563781630).

Almost surely, 2^{213344463400002} is an apocalyptic number.

213344463400002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213344463400002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255510123036480).

213344463400002 is an abundant number, since it is smaller than the sum of its proper divisors (297675782672958).

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

213344463400002 is a wasteful number, since it uses less digits than its factorization.

213344463400002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25569 (or 25566 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 213344463400002 in words is "two hundred thirteen trillion, three hundred forty-four billion, four hundred sixty-three million, four hundred thousand, two".