6468654656025 has 45 divisors (see below), whose sum is σ = 11982396507631. Its totient is φ = 3449888109360.

The previous prime is 6468654656017. The next prime is 6468654656059. The reversal of 6468654656025 is 5206564568646.

The square root of 6468654656025 is 2543355.

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

6468654656025 is a `hidden beast` number, since 6 + 4 + 6 + 8 + 6 + 5 + 46 + 560 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2328715676169 + 4139938979856 = 1526013^2 + 2034684^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 6468654656025 - 2³ = 6468654656017 is a prime.

It is a super-2 number, since 2×6468654656025² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 114422716 + ... + 114479234.

Almost surely, 2^{6468654656025} is an apocalyptic number.

6468654656025 is the 2543355-th square number.

6468654656025 is the 1271678-th centered octagonal number.

It is an amenable number.

6468654656025 is a deficient number, since it is larger than the sum of its proper divisors (5513741851606).

6468654656025 is an frugal number, since it uses more digits than its factorization.

6468654656025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113060 (or 56527 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 6468654656025 in words is "six trillion, four hundred sixty-eight billion, six hundred fifty-four million, six hundred fifty-six thousand, twenty-five".