216252809472 has 576 divisors, whose sum is σ = 711775088640. Its totient is φ = 56952225792.

The previous prime is 216252809471. The next prime is 216252809473. The reversal of 216252809472 is 274908252612.

It is an interprime number because it is at equal distance from previous prime (216252809471) and next prime (216252809473).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (216252809471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473200668 + ... + 473201124.

It is an arithmetic number, because the mean of its divisors is an integer number (1235720640).

Almost surely, 2^216252809472 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 216252809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355887544320).

216252809472 is an abundant number, since it is smaller than the sum of its proper divisors (495522279168).

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

216252809472 is a wasteful number, since it uses less digits than its factorization.

216252809472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 216252809472 in words is "two hundred sixteen billion, two hundred fifty-two million, eight hundred nine thousand, four hundred seventy-two".