214079469552 has 180 divisors, whose sum is σ = 674487220680. Its totient is φ = 63006375168.

The previous prime is 214079469551. The next prime is 214079469647. The reversal of 214079469552 is 255964970412.

It is a happy number.

214079469552 is a `hidden beast` number, since 2 + 1 + 40 + 7 + 9 + 46 + 9 + 552 = 666.

214079469552 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214079469551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 882199 + ... + 1098377.

It is an arithmetic number, because the mean of its divisors is an integer number (3747151226).

Almost surely, 2^214079469552 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 214079469552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337243610340).

214079469552 is an abundant number, since it is smaller than the sum of its proper divisors (460407751128).

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

214079469552 is a wasteful number, since it uses less digits than its factorization.

214079469552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216252 (or 216220 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 214079469552 in words is "two hundred fourteen billion, seventy-nine million, four hundred sixty-nine thousand, five hundred fifty-two".