214809270816 has 192 divisors, whose sum is σ = 672699444480. Its totient is φ = 58735964160.

The previous prime is 214809270811. The next prime is 214809270839. The reversal of 214809270816 is 618072908412.

It is a happy number.

It is a super-2 number, since 2×214809270816² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214809270811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445890 + ... + 1587518.

It is an arithmetic number, because the mean of its divisors is an integer number (3503642940).

Almost surely, 2^214809270816 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 214809270816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336349722240).

214809270816 is an abundant number, since it is smaller than the sum of its proper divisors (457890173664).

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

214809270816 is a wasteful number, since it uses less digits than its factorization.

214809270816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141747 (or 141739 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 214809270816 in words is "two hundred fourteen billion, eight hundred nine million, two hundred seventy thousand, eight hundred sixteen".