214225512256 has 112 divisors (see below), whose sum is σ = 493201025280. Its totient is φ = 90421309440.

The previous prime is 214225512253. The next prime is 214225512271. The reversal of 214225512256 is 652215522412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214225512253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35272036 + ... + 35278108.

Almost surely, 2^214225512256 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 214225512256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246600512640).

214225512256 is an abundant number, since it is smaller than the sum of its proper divisors (278975513024).

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

214225512256 is a wasteful number, since it uses less digits than its factorization.

214225512256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272 (or 7262 counting only the distinct ones).

The product of its digits is 96000, while the sum is 37.

The spelling of 214225512256 in words is "two hundred fourteen billion, two hundred twenty-five million, five hundred twelve thousand, two hundred fifty-six".