214156656 has 240 divisors, whose sum is σ = 730548480. Its totient is φ = 59875200.

The previous prime is 214156651. The next prime is 214156681. The reversal of 214156656 is 656651412.

214156656 is a `hidden beast` number, since 2 + 1 + 41 + 566 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214156656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214156651) 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 47 ways as a sum of consecutive naturals, for example, 1418181 + ... + 1418331.

It is an arithmetic number, because the mean of its divisors is an integer number (3043952).

Almost surely, 2^214156656 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 214156656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365274240).

214156656 is an abundant number, since it is smaller than the sum of its proper divisors (516391824).

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

214156656 is a wasteful number, since it uses less digits than its factorization.

214156656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 214156656 is about 14634.0922506317. The cubic root of 214156656 is about 598.2883215717.

The spelling of 214156656 in words is "two hundred fourteen million, one hundred fifty-six thousand, six hundred fifty-six".