1164005406225 has 18 divisors (see below), whose sum is σ = 2084863016886. Its totient is φ = 620802883200.

The previous prime is 1164005406217. The next prime is 1164005406241. The reversal of 1164005406225 is 5226045004611.

1164005406225 is a `hidden beast` number, since 1 + 1 + 640 + 0 + 5 + 4 + 0 + 6 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3481826049 + 1160523580176 = 59007^2 + 1077276^2 .

It is not a de Polignac number, because 1164005406225 - 2³ = 1164005406217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1164005406225.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2586678456 + ... + 2586678905.

Almost surely, 2^{1164005406225} is an apocalyptic number.

1164005406225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1164005406225 is a deficient number, since it is larger than the sum of its proper divisors (920857610661).

1164005406225 is a wasteful number, since it uses less digits than its factorization.

1164005406225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173357377 (or 5173357369 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1164005406225 in words is "one trillion, one hundred sixty-four billion, five million, four hundred six thousand, two hundred twenty-five".