2356166610225 has 72 divisors (see below), whose sum is σ = 4294790037720. Its totient is φ = 1234587893760.

The previous prime is 2356166610211. The next prime is 2356166610229. The reversal of 2356166610225 is 5220166616532.

It can be written as a sum of positive squares in 12 ways, for example, as 418268747169 + 1937897863056 = 646737^2 + 1392084^2 .

It is not a de Polignac number, because 2356166610225 - 2¹⁴ = 2356166593841 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2356166610229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2596021 + ... + 3384029.

It is an arithmetic number, because the mean of its divisors is an integer number (59649861635).

Almost surely, 2^{2356166610225} is an apocalyptic number.

2356166610225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2356166610225 is a deficient number, since it is larger than the sum of its proper divisors (1938623427495).

2356166610225 is a wasteful number, since it uses less digits than its factorization.

2356166610225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788259 (or 788251 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2356166610225 in words is "two trillion, three hundred fifty-six billion, one hundred sixty-six million, six hundred ten thousand, two hundred twenty-five".