213546850944 has 512 divisors, whose sum is σ = 686541926400. Its totient is φ = 57545883648.

The previous prime is 213546850901. The next prime is 213546850969. The reversal of 213546850944 is 449058645312.

It is a happy number.

It is a super-3 number, since 3×213546850944³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486439077 + ... + 486439515.

It is an arithmetic number, because the mean of its divisors is an integer number (1340902200).

Almost surely, 2^213546850944 is an apocalyptic number.

213546850944 is a gapful number since it is divisible by the number (24) 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 213546850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343270963200).

213546850944 is an abundant number, since it is smaller than the sum of its proper divisors (472995075456).

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

213546850944 is a wasteful number, since it uses less digits than its factorization.

213546850944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 213546850944 in words is "two hundred thirteen billion, five hundred forty-six million, eight hundred fifty thousand, nine hundred forty-four".