216520841124 has 189 divisors, whose sum is σ = 661396823451. Its totient is φ = 61812843120.

The previous prime is 216520841059. The next prime is 216520841137. The reversal of 216520841124 is 421148025612.

The square root of 216520841124 is 465318.

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

216520841124 is a `hidden beast` number, since 2 + 1 + 6 + 520 + 8 + 4 + 1 + 124 = 666.

It is a tau number, because it is divible by the number of its divisors (189).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 175889589 + ... + 175890819.

Almost surely, 2^216520841124 is an apocalyptic number.

216520841124 is the 465318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216520841124

216520841124 is an abundant number, since it is smaller than the sum of its proper divisors (444875982327).

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

216520841124 is an frugal number, since it uses more digits than its factorization.

216520841124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 216520841124 by its sum of digits (36), we get a square (7794750280464 = 2791908²).

216520841124 divided by its sum of digits (36) gives a square (6014467809 = 77553²).

Adding to 216520841124 its reverse (421148025612), we get a palindrome (637668866736).

The spelling of 216520841124 in words is "two hundred sixteen billion, five hundred twenty million, eight hundred forty-one thousand, one hundred twenty-four".