214576561152 has 264 divisors, whose sum is σ = 662450402016. Its totient is φ = 66659549184.

The previous prime is 214576561141. The next prime is 214576561181. The reversal of 214576561152 is 251165675412.

214576561152 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 76 + 561 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214576561098 and 214576561107.

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 23 ways as a sum of consecutive naturals, for example, 16130568 + ... + 16143864.

Almost surely, 2^214576561152 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 214576561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331225201008).

214576561152 is an abundant number, since it is smaller than the sum of its proper divisors (447873840864).

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

214576561152 is a wasteful number, since it uses less digits than its factorization.

214576561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13443 (or 13422 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 214576561152 in words is "two hundred fourteen billion, five hundred seventy-six million, five hundred sixty-one thousand, one hundred fifty-two".