213324309984 has 48 divisors (see below), whose sum is σ = 560073397968. Its totient is φ = 71095775232.

The previous prime is 213324309983. The next prime is 213324310141. The reversal of 213324309984 is 489903423312.

213324309984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×213324309984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213324309983) 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 7 ways as a sum of consecutive naturals, for example, 372574 + ... + 751970.

It is an arithmetic number, because the mean of its divisors is an integer number (11668195791).

Almost surely, 2^213324309984 is an apocalyptic number.

213324309984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213324309984 is an abundant number, since it is smaller than the sum of its proper divisors (346749087984).

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

213324309984 is a wasteful number, since it uses less digits than its factorization.

213324309984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385267 (or 385259 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 213324309984 in words is "two hundred thirteen billion, three hundred twenty-four million, three hundred nine thousand, nine hundred eighty-four".