216012456 has 96 divisors (see below), whose sum is σ = 644436000. Its totient is φ = 64821120.

The previous prime is 216012443. The next prime is 216012457. The reversal of 216012456 is 654210612.

216012456 is a `hidden beast` number, since 2 + 1 + 601 + 2 + 4 + 56 = 666.

It is a super-2 number, since 2×216012456² = 93322762294303872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216012457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83470 + ... + 86018.

It is an arithmetic number, because the mean of its divisors is an integer number (6712875).

Almost surely, 2^216012456 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 216012456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322218000).

216012456 is an abundant number, since it is smaller than the sum of its proper divisors (428423544).

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

216012456 is a wasteful number, since it uses less digits than its factorization.

216012456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216012456 is about 14697.3622123155. The cubic root of 216012456 is about 600.0115331116.

The spelling of 216012456 in words is "two hundred sixteen million, twelve thousand, four hundred fifty-six".