214785322854304 has 96 divisors (see below), whose sum is σ = 441618288526800. Its totient is φ = 102727932272640.

The previous prime is 214785322854199. The next prime is 214785322854371. The reversal of 214785322854304 is 403458223587412.

214785322854304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 150826596197904 + 63958726656400 = 12281148^2 + 7997420^2 .

It is a super-2 number, since 2×214785322854304² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150164142 + ... + 151587730.

Almost surely, 2^{214785322854304} 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 214785322854304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220809144263400).

214785322854304 is an abundant number, since it is smaller than the sum of its proper divisors (226832965672496).

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

214785322854304 is a wasteful number, since it uses less digits than its factorization.

214785322854304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425786 (or 1425778 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 58.

The spelling of 214785322854304 in words is "two hundred fourteen trillion, seven hundred eighty-five billion, three hundred twenty-two million, eight hundred fifty-four thousand, three hundred four".