214635660256 has 72 divisors (see below), whose sum is σ = 451756678464. Its totient is φ = 100274334720.

The previous prime is 214635660229. The next prime is 214635660271. The reversal of 214635660256 is 652066536412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705636 + ... + 962908.

It is an arithmetic number, because the mean of its divisors is an integer number (6274398312).

Almost surely, 2^214635660256 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 214635660256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225878339232).

214635660256 is an abundant number, since it is smaller than the sum of its proper divisors (237121018208).

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

214635660256 is a wasteful number, since it uses less digits than its factorization.

214635660256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257372 (or 257335 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 214635660256 in words is "two hundred fourteen billion, six hundred thirty-five million, six hundred sixty thousand, two hundred fifty-six".