216145468 has 72 divisors (see below), whose sum is σ = 496707120. Its totient is φ = 81285120.

The previous prime is 216145427. The next prime is 216145469. The reversal of 216145468 is 864541612.

216145468 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (216145469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60796 + ... + 64252.

It is an arithmetic number, because the mean of its divisors is an integer number (6898710).

Almost surely, 2^216145468 is an apocalyptic number.

216145468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216145468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248353560).

216145468 is an abundant number, since it is smaller than the sum of its proper divisors (280561652).

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

216145468 is a wasteful number, since it uses less digits than its factorization.

216145468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3506 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 216145468 is about 14701.8865456104. The cubic root of 216145468 is about 600.1346623671.

The spelling of 216145468 in words is "two hundred sixteen million, one hundred forty-five thousand, four hundred sixty-eight".