214044531563424 has 192 divisors, whose sum is σ = 577980100575360. Its totient is φ = 69308343152640.

The previous prime is 214044531563393. The next prime is 214044531563479. The reversal of 214044531563424 is 424365135440412.

It is a super-2 number, since 2×214044531563424² (a number of 29 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 6052764367 + ... + 6052799729.

It is an arithmetic number, because the mean of its divisors is an integer number (3010313023830).

Almost surely, 2^{214044531563424} is an apocalyptic number.

214044531563424 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 214044531563424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288990050287680).

214044531563424 is an abundant number, since it is smaller than the sum of its proper divisors (363935569011936).

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

214044531563424 is a wasteful number, since it uses less digits than its factorization.

214044531563424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38103 (or 38095 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 214044531563424 in words is "two hundred fourteen trillion, forty-four billion, five hundred thirty-one million, five hundred sixty-three thousand, four hundred twenty-four".