2166456006225 has 144 divisors (see below), whose sum is σ = 4590862773120. Its totient is φ = 955553356800.

The previous prime is 2166456006193. The next prime is 2166456006257. The reversal of 2166456006225 is 5226006546612.

2166456006225 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 4 + 560 + 0 + 62 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (2166456006193) and next prime (2166456006257).

It is not a de Polignac number, because 2166456006225 - 2⁵ = 2166456006193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67628662 + ... + 67660688.

It is an arithmetic number, because the mean of its divisors is an integer number (31880991480).

Almost surely, 2^{2166456006225} is an apocalyptic number.

2166456006225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2166456006225 is an abundant number, since it is smaller than the sum of its proper divisors (2424406766895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2166456006225 is a wasteful number, since it uses less digits than its factorization.

2166456006225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33560 (or 33552 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2166456006225 in words is "two trillion, one hundred sixty-six billion, four hundred fifty-six million, six thousand, two hundred twenty-five".