213367147963200 has 6048 divisors, whose sum is σ = 1068679462636800. Its totient is φ = 40481383219200.

The previous prime is 213367147963199. The next prime is 213367147963201. The reversal of 213367147963200 is 2369741763312.

213367147963200 is a `hidden beast` number, since 2 + 1 + 3 + 367 + 1 + 4 + 79 + 6 + 3 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (213367147963199) and next prime (213367147963201).

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213367147963201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 383064897322 + ... + 383064897878.

It is an arithmetic number, because the mean of its divisors is an integer number (176699646600).

Almost surely, 2^{213367147963200} is an apocalyptic number.

213367147963200 is a gapful number since it is divisible by the number (20) 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 213367147963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534339731318400).

213367147963200 is an abundant number, since it is smaller than the sum of its proper divisors (855312314673600).

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

213367147963200 is a wasteful number, since it uses less digits than its factorization.

213367147963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 213367147963200 in words is "two hundred thirteen trillion, three hundred sixty-seven billion, one hundred forty-seven million, nine hundred sixty-three thousand, two hundred".