216362435904 has 280 divisors, whose sum is σ = 679999339008. Its totient is φ = 67787919360.

The previous prime is 216362435881. The next prime is 216362435909. The reversal of 216362435904 is 409534263612.

216362435904 is a `hidden beast` number, since 2 + 1 + 6 + 36 + 24 + 3 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 216362435904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216362435909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102491809 + ... + 102493919.

Almost surely, 2^216362435904 is an apocalyptic number.

216362435904 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 216362435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339999669504).

216362435904 is an abundant number, since it is smaller than the sum of its proper divisors (463636903104).

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

216362435904 is a wasteful number, since it uses less digits than its factorization.

216362435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 216362435904 in words is "two hundred sixteen billion, three hundred sixty-two million, four hundred thirty-five thousand, nine hundred four".