216403596864 has 945 divisors, whose sum is σ = 819579014001. Its totient is φ = 56269624320.

The previous prime is 216403596823. The next prime is 216403596881. The reversal of 216403596864 is 468695304612.

The square root of 216403596864 is 465192.

It is a perfect power (a square), and thus also a powerful number.

216403596864 is a `hidden beast` number, since 2 + 1 + 6 + 40 + 3 + 596 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32012366400 + 184391230464 = 178920^2 + 429408^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 216403596864.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3047937949 + ... + 3047938019.

Almost surely, 2^216403596864 is an apocalyptic number.

216403596864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

216403596864 is the 465192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216403596864

216403596864 is an abundant number, since it is smaller than the sum of its proper divisors (603175417137).

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

216403596864 is an equidigital number, since it uses as much as digits as its factorization.

216403596864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 216403596864 in words is "two hundred sixteen billion, four hundred three million, five hundred ninety-six thousand, eight hundred sixty-four".