213383469600 has 1728 divisors, whose sum is σ = 960274538496. Its totient is φ = 43475927040.

The previous prime is 213383469577. The next prime is 213383469641. The reversal of 213383469600 is 6964383312.

213383469600 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 8 + 34 + 6 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 1680184737 + ... + 1680184863.

It is an arithmetic number, because the mean of its divisors is an integer number (555714432).

Almost surely, 2^213383469600 is an apocalyptic number.

213383469600 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 213383469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480137269248).

213383469600 is an abundant number, since it is smaller than the sum of its proper divisors (746891068896).

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

213383469600 is a wasteful number, since it uses less digits than its factorization.

213383469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 213383469600 in words is "two hundred thirteen billion, three hundred eighty-three million, four hundred sixty-nine thousand, six hundred".