216983614225 has 27 divisors (see below), whose sum is σ = 313011311697. Its totient is φ = 148777584480.

The previous prime is 216983614213. The next prime is 216983614231. The reversal of 216983614225 is 522416389612.

The square root of 216983614225 is 465815.

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 120630487761 + 96353126464 = 347319^2 + 310408^2 .

It is not a de Polignac number, because 216983614225 - 2⁷ = 216983614097 is a prime.

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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16296871 + ... + 16310179.

Almost surely, 2^216983614225 is an apocalyptic number.

216983614225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

216983614225 is the 465815-th square number.

216983614225 is the 232908-th centered octagonal number.

It is an amenable number.

216983614225 is a deficient number, since it is larger than the sum of its proper divisors (96027697472).

216983614225 is an frugal number, since it uses more digits than its factorization.

216983614225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26642 (or 13321 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

Multiplying 216983614225 by its sum of digits (49), we get a square (10632197097025 = 3260705²).

216983614225 divided by its sum of digits (49) gives a square (4428237025 = 66545²).

The spelling of 216983614225 in words is "two hundred sixteen billion, nine hundred eighty-three million, six hundred fourteen thousand, two hundred twenty-five".