216519512018404 has 135 divisors (see below), whose sum is σ = 450691089038043. Its totient is φ = 91011108254976.

The previous prime is 216519512018399. The next prime is 216519512018419. The reversal of 216519512018404 is 404810215915612.

The square root of 216519512018404 is 14714602.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3129353924004 + 213390158094400 = 1768998^2 + 14607880^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76427641372 + ... + 76427644204.

Almost surely, 2^{216519512018404} is an apocalyptic number.

216519512018404 is the 14714602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216519512018404

216519512018404 is an abundant number, since it is smaller than the sum of its proper divisors (234171577019639).

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

216519512018404 is an frugal number, since it uses more digits than its factorization.

216519512018404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

216519512018404 divided by its sum of digits (49) gives a square (4418765551396 = 2102086²).

The spelling of 216519512018404 in words is "two hundred sixteen trillion, five hundred nineteen billion, five hundred twelve million, eighteen thousand, four hundred four".