4008664687225 has 81 divisors (see below), whose sum is σ = 5566907942701. Its totient is φ = 2861334044800.

The previous prime is 4008664687213. The next prime is 4008664687271. The reversal of 4008664687225 is 5227864668004.

The square root of 4008664687225 is 2002165.

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

4008664687225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1887691888489 + 2120972798736 = 1373933^2 + 1456356^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4008664687225 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4008664687225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6497025117 + ... + 6497025733.

Almost surely, 2^{4008664687225} is an apocalyptic number.

4008664687225 is the 2002165-th square number.

4008664687225 is the 1001083-rd centered octagonal number.

It is an amenable number.

4008664687225 is a deficient number, since it is larger than the sum of its proper divisors (1558243255476).

4008664687225 is an frugal number, since it uses more digits than its factorization.

4008664687225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 58.

It can be divided in two parts, 4008664 and 687225, that added together give a square (4695889 = 2167²).

The spelling of 4008664687225 in words is "four trillion, eight billion, six hundred sixty-four million, six hundred eighty-seven thousand, two hundred twenty-five".