1662668408025 has 243 divisors, whose sum is σ = 3198245374623. Its totient is φ = 825657422400.

The previous prime is 1662668407999. The next prime is 1662668408081. The reversal of 1662668408025 is 5208048662661.

The square root of 1662668408025 is 1289445.

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

1662668408025 is a `hidden beast` number, since 1 + 6 + 626 + 6 + 8 + 4 + 0 + 8 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 598560626889 + 1064107781136 = 773667^2 + 1031556^2 .

It is not a de Polignac number, because 1662668408025 - 2⁵ = 1662668407993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 28180820446 + ... + 28180820504.

Almost surely, 2^{1662668408025} is an apocalyptic number.

1662668408025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1662668408025 is the 1289445-th square number.

1662668408025 is the 644723-rd centered octagonal number.

It is an amenable number.

1662668408025 is a deficient number, since it is larger than the sum of its proper divisors (1535576966598).

1662668408025 is an equidigital number, since it uses as much as digits as its factorization.

1662668408025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1662668408025 in words is "one trillion, six hundred sixty-two billion, six hundred sixty-eight million, four hundred eight thousand, twenty-five".