216366327125424 has 320 divisors, whose sum is σ = 729407761582080. Its totient is φ = 60118473093120.

The previous prime is 216366327125321. The next prime is 216366327125471. The reversal of 216366327125424 is 424521723663612.

216366327125424 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 6 + 63 + 27 + 12 + 542 + 4 = 666.

It is a super-2 number, since 2×216366327125424² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36019269 + ... + 41594715.

It is an arithmetic number, because the mean of its divisors is an integer number (2279399254944).

Almost surely, 2^{216366327125424} is an apocalyptic number.

216366327125424 is a gapful number since it is divisible by the number (24) 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 216366327125424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364703880791040).

216366327125424 is an abundant number, since it is smaller than the sum of its proper divisors (513041434456656).

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

216366327125424 is a wasteful number, since it uses less digits than its factorization.

216366327125424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575825 (or 5575813 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 216366327125424 in words is "two hundred sixteen trillion, three hundred sixty-six billion, three hundred twenty-seven million, one hundred twenty-five thousand, four hundred twenty-four".