214944205131072 has 630 divisors, whose sum is σ = 688142382965466. Its totient is φ = 66326289039360.

The previous prime is 214944205131037. The next prime is 214944205131107. The reversal of 214944205131072 is 270131502449412.

214944205131072 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 4 + 4 + 20 + 513 + 107 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (214944205131037) and next prime (214944205131107).

It can be written as a sum of positive squares in 9 ways, for example, as 108570064732416 + 106374140398656 = 10419696^2 + 10313784^2 .

It is a super-2 number, since 2×214944205131072² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5574693618 + ... + 5574732174.

Almost surely, 2^{214944205131072} 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 214944205131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344071191482733).

214944205131072 is an abundant number, since it is smaller than the sum of its proper divisors (473198177834394).

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

214944205131072 is an equidigital number, since it uses as much as digits as its factorization.

214944205131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38737 (or 38640 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 214944205131072 in words is "two hundred fourteen trillion, nine hundred forty-four billion, two hundred five million, one hundred thirty-one thousand, seventy-two".