214944938496 has 320 divisors, whose sum is σ = 649210531200. Its totient is φ = 71081349120.

The previous prime is 214944938491. The next prime is 214944938503. The reversal of 214944938496 is 694839449412.

214944938496 is a `hidden beast` number, since 2 + 14 + 9 + 44 + 93 + 8 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214944938491) by changing a digit.

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, 155643726 + ... + 155645106.

It is an arithmetic number, because the mean of its divisors is an integer number (2028782910).

Almost surely, 2^214944938496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214944938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324605265600).

214944938496 is an abundant number, since it is smaller than the sum of its proper divisors (434265592704).

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

214944938496 is an frugal number, since it uses more digits than its factorization.

214944938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1525 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 214944938496 in words is "two hundred fourteen billion, nine hundred forty-four million, nine hundred thirty-eight thousand, four hundred ninety-six".