214225652016 has 200 divisors, whose sum is σ = 628566112944. Its totient is φ = 70428579840.

The previous prime is 214225651973. The next prime is 214225652057. The reversal of 214225652016 is 610256522412.

214225652016 is a `hidden beast` number, since 21 + 42 + 2 + 565 + 20 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81857940 + ... + 81860556.

Almost surely, 2^214225652016 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 214225652016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314283056472).

214225652016 is an abundant number, since it is smaller than the sum of its proper divisors (414340460928).

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

214225652016 is a wasteful number, since it uses less digits than its factorization.

214225652016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 214225652016 in words is "two hundred fourteen billion, two hundred twenty-five million, six hundred fifty-two thousand, sixteen".