214666252416 has 384 divisors, whose sum is σ = 771249548160. Its totient is φ = 55677911040.

The previous prime is 214666252399. The next prime is 214666252417. The reversal of 214666252416 is 614252666412.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (214666252417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86662570 + ... + 86665046.

It is an arithmetic number, because the mean of its divisors is an integer number (2008462365).

Almost surely, 2^214666252416 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 214666252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385624774080).

214666252416 is an abundant number, since it is smaller than the sum of its proper divisors (556583295744).

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

214666252416 is a wasteful number, since it uses less digits than its factorization.

214666252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3477 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 214666252416 in words is "two hundred fourteen billion, six hundred sixty-six million, two hundred fifty-two thousand, four hundred sixteen".